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Finding the Fourth Proportional to 9,125.91, 12,591.38 and 5,398.23

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Solution

The fourth proportional to 9,125.91, 12,591.38 and 5,398.23 is: 7,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,125.91 : 12,591.38 = 5,398.23 : x
  2. Step 2: Convert to fraction form
    9,125.91/12,591.38 = 5,398.23/x
  3. Step 3: Cross multiply
    9,125.91x = 12,591.38 × 5,398.23
  4. Step 4: Simplify right side
    9,125.91x = 67,971,138.27
  5. Step 5: Solve for x
    x = 67,971,138.27/9,125.91
  6. Step 6: Final answer
    x = 7,448.15

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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.