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Finding the Fourth Proportional to 9,654.39, 14,471.87 and 6,731.91

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Solution

The fourth proportional to 9,654.39, 14,471.87 and 6,731.91 is: 10,091.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,654.39 : 14,471.87 = 6,731.91 : x
  2. Step 2: Convert to fraction form
    9,654.39/14,471.87 = 6,731.91/x
  3. Step 3: Cross multiply
    9,654.39x = 14,471.87 × 6,731.91
  4. Step 4: Simplify right side
    9,654.39x = 97,423,292.71
  5. Step 5: Solve for x
    x = 97,423,292.71/9,654.39
  6. Step 6: Final answer
    x = 10,091.09

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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.