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Finding the Fourth Proportional to 9,612.75, 14,419.85 and 5,451.15

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Solution

The fourth proportional to 9,612.75, 14,419.85 and 5,451.15 is: 8,177.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,612.75 : 14,419.85 = 5,451.15 : x
  2. Step 2: Convert to fraction form
    9,612.75/14,419.85 = 5,451.15/x
  3. Step 3: Cross multiply
    9,612.75x = 14,419.85 × 5,451.15
  4. Step 4: Simplify right side
    9,612.75x = 78,604,738.07
  5. Step 5: Solve for x
    x = 78,604,738.07/9,612.75
  6. Step 6: Final answer
    x = 8,177.13

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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.