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Finding the Fourth Proportional to 9,452.71, 14,179.85 and 2,878.95

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Solution

The fourth proportional to 9,452.71, 14,179.85 and 2,878.95 is: 4,318.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.71 : 14,179.85 = 2,878.95 : x
  2. Step 2: Convert to fraction form
    9,452.71/14,179.85 = 2,878.95/x
  3. Step 3: Cross multiply
    9,452.71x = 14,179.85 × 2,878.95
  4. Step 4: Simplify right side
    9,452.71x = 40,823,079.16
  5. Step 5: Solve for x
    x = 40,823,079.16/9,452.71
  6. Step 6: Final answer
    x = 4,318.66

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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.