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Finding the Fourth Proportional to 9,149.68, 12,617.13 and 7,827.76

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Solution

The fourth proportional to 9,149.68, 12,617.13 and 7,827.76 is: 10,794.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,149.68 : 12,617.13 = 7,827.76 : x
  2. Step 2: Convert to fraction form
    9,149.68/12,617.13 = 7,827.76/x
  3. Step 3: Cross multiply
    9,149.68x = 12,617.13 × 7,827.76
  4. Step 4: Simplify right side
    9,149.68x = 98,763,865.53
  5. Step 5: Solve for x
    x = 98,763,865.53/9,149.68
  6. Step 6: Final answer
    x = 10,794.24

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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.