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Finding the Fourth Proportional to 9,922.71, 14,878.05 and 3,911.61

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Solution

The fourth proportional to 9,922.71, 14,878.05 and 3,911.61 is: 5,865.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,922.71 : 14,878.05 = 3,911.61 : x
  2. Step 2: Convert to fraction form
    9,922.71/14,878.05 = 3,911.61/x
  3. Step 3: Cross multiply
    9,922.71x = 14,878.05 × 3,911.61
  4. Step 4: Simplify right side
    9,922.71x = 58,197,129.16
  5. Step 5: Solve for x
    x = 58,197,129.16/9,922.71
  6. Step 6: Final answer
    x = 5,865.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.