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Finding the Fourth Proportional to 9,863.74, 13,612.25 and 5,387.70

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Solution

The fourth proportional to 9,863.74, 13,612.25 and 5,387.70 is: 7,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.74 : 13,612.25 = 5,387.70 : x
  2. Step 2: Convert to fraction form
    9,863.74/13,612.25 = 5,387.70/x
  3. Step 3: Cross multiply
    9,863.74x = 13,612.25 × 5,387.70
  4. Step 4: Simplify right side
    9,863.74x = 73,338,732.79
  5. Step 5: Solve for x
    x = 73,338,732.79/9,863.74
  6. Step 6: Final answer
    x = 7,435.19

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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.