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Finding the Fourth Proportional to 9,429.90, 14,132.70 and 5,728.20

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Solution

The fourth proportional to 9,429.90, 14,132.70 and 5,728.20 is: 8,584.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,429.90 : 14,132.70 = 5,728.20 : x
  2. Step 2: Convert to fraction form
    9,429.90/14,132.70 = 5,728.20/x
  3. Step 3: Cross multiply
    9,429.90x = 14,132.70 × 5,728.20
  4. Step 4: Simplify right side
    9,429.90x = 80,954,932.14
  5. Step 5: Solve for x
    x = 80,954,932.14/9,429.90
  6. Step 6: Final answer
    x = 8,584.92

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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.