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Finding the Fourth Proportional to 9,760.68, 14,640.72 and 5,079.12

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Solution

The fourth proportional to 9,760.68, 14,640.72 and 5,079.12 is: 7,618.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,760.68 : 14,640.72 = 5,079.12 : x
  2. Step 2: Convert to fraction form
    9,760.68/14,640.72 = 5,079.12/x
  3. Step 3: Cross multiply
    9,760.68x = 14,640.72 × 5,079.12
  4. Step 4: Simplify right side
    9,760.68x = 74,361,973.77
  5. Step 5: Solve for x
    x = 74,361,973.77/9,760.68
  6. Step 6: Final answer
    x = 7,618.52

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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.