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Finding the Fourth Proportional to 9,207.92, 12,705.18 and 5,851.28

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Solution

The fourth proportional to 9,207.92, 12,705.18 and 5,851.28 is: 8,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,207.92 : 12,705.18 = 5,851.28 : x
  2. Step 2: Convert to fraction form
    9,207.92/12,705.18 = 5,851.28/x
  3. Step 3: Cross multiply
    9,207.92x = 12,705.18 × 5,851.28
  4. Step 4: Simplify right side
    9,207.92x = 74,341,565.63
  5. Step 5: Solve for x
    x = 74,341,565.63/9,207.92
  6. Step 6: Final answer
    x = 8,073.65

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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.