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Finding the Fourth Proportional to 9,140.78, 12,614.34 and 4,949.04

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Solution

The fourth proportional to 9,140.78, 12,614.34 and 4,949.04 is: 6,829.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,140.78 : 12,614.34 = 4,949.04 : x
  2. Step 2: Convert to fraction form
    9,140.78/12,614.34 = 4,949.04/x
  3. Step 3: Cross multiply
    9,140.78x = 12,614.34 × 4,949.04
  4. Step 4: Simplify right side
    9,140.78x = 62,428,873.23
  5. Step 5: Solve for x
    x = 62,428,873.23/9,140.78
  6. Step 6: Final answer
    x = 6,829.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.