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Finding the Fourth Proportional to 9,105.60, 12,565.83 and 5,327.94

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Solution

The fourth proportional to 9,105.60, 12,565.83 and 5,327.94 is: 7,352.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.60 : 12,565.83 = 5,327.94 : x
  2. Step 2: Convert to fraction form
    9,105.60/12,565.83 = 5,327.94/x
  3. Step 3: Cross multiply
    9,105.60x = 12,565.83 × 5,327.94
  4. Step 4: Simplify right side
    9,105.60x = 66,949,988.29
  5. Step 5: Solve for x
    x = 66,949,988.29/9,105.60
  6. Step 6: Final answer
    x = 7,352.62

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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.