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Finding the Fourth Proportional to 9,120.88, 12,586.06 and 5,142.97

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Solution

The fourth proportional to 9,120.88, 12,586.06 and 5,142.97 is: 7,096.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,120.88 : 12,586.06 = 5,142.97 : x
  2. Step 2: Convert to fraction form
    9,120.88/12,586.06 = 5,142.97/x
  3. Step 3: Cross multiply
    9,120.88x = 12,586.06 × 5,142.97
  4. Step 4: Simplify right side
    9,120.88x = 64,729,729.00
  5. Step 5: Solve for x
    x = 64,729,729.00/9,120.88
  6. Step 6: Final answer
    x = 7,096.87

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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.