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Finding the Fourth Proportional to 9,951.73, 14,929.91 and 3,711.76

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Solution

The fourth proportional to 9,951.73, 14,929.91 and 3,711.76 is: 5,568.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,951.73 : 14,929.91 = 3,711.76 : x
  2. Step 2: Convert to fraction form
    9,951.73/14,929.91 = 3,711.76/x
  3. Step 3: Cross multiply
    9,951.73x = 14,929.91 × 3,711.76
  4. Step 4: Simplify right side
    9,951.73x = 55,416,242.74
  5. Step 5: Solve for x
    x = 55,416,242.74/9,951.73
  6. Step 6: Final answer
    x = 5,568.50

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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.