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Finding the Fourth Proportional to 9,162.52, 13,743.51 and 2,588.59

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Solution

The fourth proportional to 9,162.52, 13,743.51 and 2,588.59 is: 3,882.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,162.52 : 13,743.51 = 2,588.59 : x
  2. Step 2: Convert to fraction form
    9,162.52/13,743.51 = 2,588.59/x
  3. Step 3: Cross multiply
    9,162.52x = 13,743.51 × 2,588.59
  4. Step 4: Simplify right side
    9,162.52x = 35,576,320.02
  5. Step 5: Solve for x
    x = 35,576,320.02/9,162.52
  6. Step 6: Final answer
    x = 3,882.81

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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.