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Finding the Fourth Proportional to 9,165.52, 13,748.34 and 2,239.96

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Solution

The fourth proportional to 9,165.52, 13,748.34 and 2,239.96 is: 3,359.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.52 : 13,748.34 = 2,239.96 : x
  2. Step 2: Convert to fraction form
    9,165.52/13,748.34 = 2,239.96/x
  3. Step 3: Cross multiply
    9,165.52x = 13,748.34 × 2,239.96
  4. Step 4: Simplify right side
    9,165.52x = 30,795,731.67
  5. Step 5: Solve for x
    x = 30,795,731.67/9,165.52
  6. Step 6: Final answer
    x = 3,359.95

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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.