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Finding the Fourth Proportional to 9,757.50, 13,461.68 and 6,402.17

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Solution

The fourth proportional to 9,757.50, 13,461.68 and 6,402.17 is: 8,832.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,757.50 : 13,461.68 = 6,402.17 : x
  2. Step 2: Convert to fraction form
    9,757.50/13,461.68 = 6,402.17/x
  3. Step 3: Cross multiply
    9,757.50x = 13,461.68 × 6,402.17
  4. Step 4: Simplify right side
    9,757.50x = 86,183,864.53
  5. Step 5: Solve for x
    x = 86,183,864.53/9,757.50
  6. Step 6: Final answer
    x = 8,832.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.