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Finding the Fourth Proportional to 9,677.74, 14,517.87 and 2,752.42

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Solution

The fourth proportional to 9,677.74, 14,517.87 and 2,752.42 is: 4,128.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.74 : 14,517.87 = 2,752.42 : x
  2. Step 2: Convert to fraction form
    9,677.74/14,517.87 = 2,752.42/x
  3. Step 3: Cross multiply
    9,677.74x = 14,517.87 × 2,752.42
  4. Step 4: Simplify right side
    9,677.74x = 39,959,275.75
  5. Step 5: Solve for x
    x = 39,959,275.75/9,677.74
  6. Step 6: Final answer
    x = 4,128.99

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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.