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Finding the Fourth Proportional to 9,121.68, 12,588.12 and 5,142.60

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Solution

The fourth proportional to 9,121.68, 12,588.12 and 5,142.60 is: 7,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,121.68 : 12,588.12 = 5,142.60 : x
  2. Step 2: Convert to fraction form
    9,121.68/12,588.12 = 5,142.60/x
  3. Step 3: Cross multiply
    9,121.68x = 12,588.12 × 5,142.60
  4. Step 4: Simplify right side
    9,121.68x = 64,735,665.91
  5. Step 5: Solve for x
    x = 64,735,665.91/9,121.68
  6. Step 6: Final answer
    x = 7,096.90

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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.