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Finding the Fourth Proportional to 9,248.50, 13,876.25 and 5,553.31

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Solution

The fourth proportional to 9,248.50, 13,876.25 and 5,553.31 is: 8,332.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,248.50 : 13,876.25 = 5,553.31 : x
  2. Step 2: Convert to fraction form
    9,248.50/13,876.25 = 5,553.31/x
  3. Step 3: Cross multiply
    9,248.50x = 13,876.25 × 5,553.31
  4. Step 4: Simplify right side
    9,248.50x = 77,059,117.89
  5. Step 5: Solve for x
    x = 77,059,117.89/9,248.50
  6. Step 6: Final answer
    x = 8,332.07

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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.