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Finding the Fourth Proportional to 9,525.47, 13,147.92 and 6,168.15

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Solution

The fourth proportional to 9,525.47, 13,147.92 and 6,168.15 is: 8,513.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,525.47 : 13,147.92 = 6,168.15 : x
  2. Step 2: Convert to fraction form
    9,525.47/13,147.92 = 6,168.15/x
  3. Step 3: Cross multiply
    9,525.47x = 13,147.92 × 6,168.15
  4. Step 4: Simplify right side
    9,525.47x = 81,098,342.75
  5. Step 5: Solve for x
    x = 81,098,342.75/9,525.47
  6. Step 6: Final answer
    x = 8,513.85

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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.