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Finding the Fourth Proportional to 9,897,692.40, 14,846,538.60 and 9,738,260.10

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Solution

The fourth proportional to 9,897,692.40, 14,846,538.60 and 9,738,260.10 is: 14,607,390.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,897,692.40 : 14,846,538.60 = 9,738,260.10 : x
  2. Step 2: Convert to fraction form
    9,897,692.40/14,846,538.60 = 9,738,260.10/x
  3. Step 3: Cross multiply
    9,897,692.40x = 14,846,538.60 × 9,738,260.10
  4. Step 4: Simplify right side
    9,897,692.40x = 144,579,454,471,489.84
  5. Step 5: Solve for x
    x = 144,579,454,471,489.84/9,897,692.40
  6. Step 6: Final answer
    x = 14,607,390.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.