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Finding the Fourth Proportional to 9,808.92, 14,719.68 and 6,301.44

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Solution

The fourth proportional to 9,808.92, 14,719.68 and 6,301.44 is: 9,456.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.92 : 14,719.68 = 6,301.44 : x
  2. Step 2: Convert to fraction form
    9,808.92/14,719.68 = 6,301.44/x
  3. Step 3: Cross multiply
    9,808.92x = 14,719.68 × 6,301.44
  4. Step 4: Simplify right side
    9,808.92x = 92,755,180.34
  5. Step 5: Solve for x
    x = 92,755,180.34/9,808.92
  6. Step 6: Final answer
    x = 9,456.21

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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.