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Finding the Fourth Proportional to 9,289.97, 13,938.02 and 3,747.97

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Solution

The fourth proportional to 9,289.97, 13,938.02 and 3,747.97 is: 5,623.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,289.97 : 13,938.02 = 3,747.97 : x
  2. Step 2: Convert to fraction form
    9,289.97/13,938.02 = 3,747.97/x
  3. Step 3: Cross multiply
    9,289.97x = 13,938.02 × 3,747.97
  4. Step 4: Simplify right side
    9,289.97x = 52,239,314.64
  5. Step 5: Solve for x
    x = 52,239,314.64/9,289.97
  6. Step 6: Final answer
    x = 5,623.20

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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.