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Finding the Fourth Proportional to 9,612.80, 14,403.68 and 5,440.40

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Solution

The fourth proportional to 9,612.80, 14,403.68 and 5,440.40 is: 8,151.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.80 : 14,403.68 = 5,440.40 : x
  2. Step 2: Convert to fraction form
    9,612.80/14,403.68 = 5,440.40/x
  3. Step 3: Cross multiply
    9,612.80x = 14,403.68 × 5,440.40
  4. Step 4: Simplify right side
    9,612.80x = 78,361,753.47
  5. Step 5: Solve for x
    x = 78,361,753.47/9,612.80
  6. Step 6: Final answer
    x = 8,151.81

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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.