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Finding the Fourth Proportional to 9,452.46, 14,178.72 and 2,878.62

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Solution

The fourth proportional to 9,452.46, 14,178.72 and 2,878.62 is: 4,317.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,452.46 : 14,178.72 = 2,878.62 : x
  2. Step 2: Convert to fraction form
    9,452.46/14,178.72 = 2,878.62/x
  3. Step 3: Cross multiply
    9,452.46x = 14,178.72 × 2,878.62
  4. Step 4: Simplify right side
    9,452.46x = 40,815,146.97
  5. Step 5: Solve for x
    x = 40,815,146.97/9,452.46
  6. Step 6: Final answer
    x = 4,317.94

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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.