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Finding the Fourth Proportional to 9,799.13, 14,701.19 and 2,873.63

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Solution

The fourth proportional to 9,799.13, 14,701.19 and 2,873.63 is: 4,311.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.13 : 14,701.19 = 2,873.63 : x
  2. Step 2: Convert to fraction form
    9,799.13/14,701.19 = 2,873.63/x
  3. Step 3: Cross multiply
    9,799.13x = 14,701.19 × 2,873.63
  4. Step 4: Simplify right side
    9,799.13x = 42,245,692.75
  5. Step 5: Solve for x
    x = 42,245,692.75/9,799.13
  6. Step 6: Final answer
    x = 4,311.17

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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.