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Finding the Fourth Proportional to 9,171.47, 13,749.30 and 3,901.65

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Solution

The fourth proportional to 9,171.47, 13,749.30 and 3,901.65 is: 5,849.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,171.47 : 13,749.30 = 3,901.65 : x
  2. Step 2: Convert to fraction form
    9,171.47/13,749.30 = 3,901.65/x
  3. Step 3: Cross multiply
    9,171.47x = 13,749.30 × 3,901.65
  4. Step 4: Simplify right side
    9,171.47x = 53,644,956.35
  5. Step 5: Solve for x
    x = 53,644,956.35/9,171.47
  6. Step 6: Final answer
    x = 5,849.11

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