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Finding the Fourth Proportional to 9,863.92, 13,611.81 and 5,387.50

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Solution

The fourth proportional to 9,863.92, 13,611.81 and 5,387.50 is: 7,434.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,863.92 : 13,611.81 = 5,387.50 : x
  2. Step 2: Convert to fraction form
    9,863.92/13,611.81 = 5,387.50/x
  3. Step 3: Cross multiply
    9,863.92x = 13,611.81 × 5,387.50
  4. Step 4: Simplify right side
    9,863.92x = 73,333,626.38
  5. Step 5: Solve for x
    x = 73,333,626.38/9,863.92
  6. Step 6: Final answer
    x = 7,434.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.