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Finding the Fourth Proportional to 9,141.30, 12,615 and 4,949.54

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Solution

The fourth proportional to 9,141.30, 12,615 and 4,949.54 is: 6,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.30 : 12,615 = 4,949.54 : x
  2. Step 2: Convert to fraction form
    9,141.30/12,615 = 4,949.54/x
  3. Step 3: Cross multiply
    9,141.30x = 12,615 × 4,949.54
  4. Step 4: Simplify right side
    9,141.30x = 62,438,447.10
  5. Step 5: Solve for x
    x = 62,438,447.10/9,141.30
  6. Step 6: Final answer
    x = 6,830.37

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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.