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Finding the Fourth Proportional to 9,174.47, 13,843.71 and 9,174.47

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Solution

The fourth proportional to 9,174.47, 13,843.71 and 9,174.47 is: 13,843.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,174.47 : 13,843.71 = 9,174.47 : x
  2. Step 2: Convert to fraction form
    9,174.47/13,843.71 = 9,174.47/x
  3. Step 3: Cross multiply
    9,174.47x = 13,843.71 × 9,174.47
  4. Step 4: Simplify right side
    9,174.47x = 127,008,632.87
  5. Step 5: Solve for x
    x = 127,008,632.87/9,174.47
  6. Step 6: Final answer
    x = 13,843.71

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.