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Finding the Fourth Proportional to 9,287.68, 12,817.20 and 5,096.20

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Solution

The fourth proportional to 9,287.68, 12,817.20 and 5,096.20 is: 7,032.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.68 : 12,817.20 = 5,096.20 : x
  2. Step 2: Convert to fraction form
    9,287.68/12,817.20 = 5,096.20/x
  3. Step 3: Cross multiply
    9,287.68x = 12,817.20 × 5,096.20
  4. Step 4: Simplify right side
    9,287.68x = 65,319,014.64
  5. Step 5: Solve for x
    x = 65,319,014.64/9,287.68
  6. Step 6: Final answer
    x = 7,032.87

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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.