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Finding the Fourth Proportional to 9,911.61, 14,862.20 and 5,234.13

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Solution

The fourth proportional to 9,911.61, 14,862.20 and 5,234.13 is: 7,848.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,911.61 : 14,862.20 = 5,234.13 : x
  2. Step 2: Convert to fraction form
    9,911.61/14,862.20 = 5,234.13/x
  3. Step 3: Cross multiply
    9,911.61x = 14,862.20 × 5,234.13
  4. Step 4: Simplify right side
    9,911.61x = 77,790,660.72
  5. Step 5: Solve for x
    x = 77,790,660.72/9,911.61
  6. Step 6: Final answer
    x = 7,848.44

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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.