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Finding the Fourth Proportional to 9,895.32, 13,657.68 and 5,917.32

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Solution

The fourth proportional to 9,895.32, 13,657.68 and 5,917.32 is: 8,167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,895.32 : 13,657.68 = 5,917.32 : x
  2. Step 2: Convert to fraction form
    9,895.32/13,657.68 = 5,917.32/x
  3. Step 3: Cross multiply
    9,895.32x = 13,657.68 × 5,917.32
  4. Step 4: Simplify right side
    9,895.32x = 80,816,863.02
  5. Step 5: Solve for x
    x = 80,816,863.02/9,895.32
  6. Step 6: Final answer
    x = 8,167.18

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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.