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Finding the Fourth Proportional to 9,650.92, 13,319.40 and 5,459.17

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Solution

The fourth proportional to 9,650.92, 13,319.40 and 5,459.17 is: 7,534.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,650.92 : 13,319.40 = 5,459.17 : x
  2. Step 2: Convert to fraction form
    9,650.92/13,319.40 = 5,459.17/x
  3. Step 3: Cross multiply
    9,650.92x = 13,319.40 × 5,459.17
  4. Step 4: Simplify right side
    9,650.92x = 72,712,868.90
  5. Step 5: Solve for x
    x = 72,712,868.90/9,650.92
  6. Step 6: Final answer
    x = 7,534.29

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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.