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Finding the Fourth Proportional to 9,227.50, 13,841.10 and 4,294.38

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Solution

The fourth proportional to 9,227.50, 13,841.10 and 4,294.38 is: 6,441.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.50 : 13,841.10 = 4,294.38 : x
  2. Step 2: Convert to fraction form
    9,227.50/13,841.10 = 4,294.38/x
  3. Step 3: Cross multiply
    9,227.50x = 13,841.10 × 4,294.38
  4. Step 4: Simplify right side
    9,227.50x = 59,438,943.02
  5. Step 5: Solve for x
    x = 59,438,943.02/9,227.50
  6. Step 6: Final answer
    x = 6,441.50

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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.