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Finding the Fourth Proportional to 9,147.77, 13,718.93 and 3,882.71

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Solution

The fourth proportional to 9,147.77, 13,718.93 and 3,882.71 is: 5,822.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,147.77 : 13,718.93 = 3,882.71 : x
  2. Step 2: Convert to fraction form
    9,147.77/13,718.93 = 3,882.71/x
  3. Step 3: Cross multiply
    9,147.77x = 13,718.93 × 3,882.71
  4. Step 4: Simplify right side
    9,147.77x = 53,266,538.69
  5. Step 5: Solve for x
    x = 53,266,538.69/9,147.77
  6. Step 6: Final answer
    x = 5,822.90

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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.