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Finding the Fourth Proportional to 10,208.43, 15,209.98 and 9,537.75

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Solution

The fourth proportional to 10,208.43, 15,209.98 and 9,537.75 is: 14,210.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,208.43 : 15,209.98 = 9,537.75 : x
  2. Step 2: Convert to fraction form
    10,208.43/15,209.98 = 9,537.75/x
  3. Step 3: Cross multiply
    10,208.43x = 15,209.98 × 9,537.75
  4. Step 4: Simplify right side
    10,208.43x = 145,068,962.90
  5. Step 5: Solve for x
    x = 145,068,962.90/10,208.43
  6. Step 6: Final answer
    x = 14,210.70

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.