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Finding the Fourth Proportional to 9,692.47, 14,535.18 and 4,146.22

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Solution

The fourth proportional to 9,692.47, 14,535.18 and 4,146.22 is: 6,217.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,692.47 : 14,535.18 = 4,146.22 : x
  2. Step 2: Convert to fraction form
    9,692.47/14,535.18 = 4,146.22/x
  3. Step 3: Cross multiply
    9,692.47x = 14,535.18 × 4,146.22
  4. Step 4: Simplify right side
    9,692.47x = 60,266,054.02
  5. Step 5: Solve for x
    x = 60,266,054.02/9,692.47
  6. Step 6: Final answer
    x = 6,217.82

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