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Finding the Fourth Proportional to 9,099.12, 12,565.08 and 6,857.16

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Solution

The fourth proportional to 9,099.12, 12,565.08 and 6,857.16 is: 9,469.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,099.12 : 12,565.08 = 6,857.16 : x
  2. Step 2: Convert to fraction form
    9,099.12/12,565.08 = 6,857.16/x
  3. Step 3: Cross multiply
    9,099.12x = 12,565.08 × 6,857.16
  4. Step 4: Simplify right side
    9,099.12x = 86,160,763.97
  5. Step 5: Solve for x
    x = 86,160,763.97/9,099.12
  6. Step 6: Final answer
    x = 9,469.13

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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.