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Finding the Fourth Proportional to 9,659.08, 13,329.70 and 7,537

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Solution

The fourth proportional to 9,659.08, 13,329.70 and 7,537 is: 10,401.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.08 : 13,329.70 = 7,537 : x
  2. Step 2: Convert to fraction form
    9,659.08/13,329.70 = 7,537/x
  3. Step 3: Cross multiply
    9,659.08x = 13,329.70 × 7,537
  4. Step 4: Simplify right side
    9,659.08x = 100,465,948.90
  5. Step 5: Solve for x
    x = 100,465,948.90/9,659.08
  6. Step 6: Final answer
    x = 10,401.19

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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.