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Finding the Fourth Proportional to 9,913.92, 14,856 and 5,744.16

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Solution

The fourth proportional to 9,913.92, 14,856 and 5,744.16 is: 8,607.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,913.92 : 14,856 = 5,744.16 : x
  2. Step 2: Convert to fraction form
    9,913.92/14,856 = 5,744.16/x
  3. Step 3: Cross multiply
    9,913.92x = 14,856 × 5,744.16
  4. Step 4: Simplify right side
    9,913.92x = 85,335,240.96
  5. Step 5: Solve for x
    x = 85,335,240.96/9,913.92
  6. Step 6: Final answer
    x = 8,607.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.