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Finding the Fourth Proportional to 6,174.76, 9,252.42 and 3,397.36

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Solution

The fourth proportional to 6,174.76, 9,252.42 and 3,397.36 is: 5,090.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.76 : 9,252.42 = 3,397.36 : x
  2. Step 2: Convert to fraction form
    6,174.76/9,252.42 = 3,397.36/x
  3. Step 3: Cross multiply
    6,174.76x = 9,252.42 × 3,397.36
  4. Step 4: Simplify right side
    6,174.76x = 31,433,801.61
  5. Step 5: Solve for x
    x = 31,433,801.61/6,174.76
  6. Step 6: Final answer
    x = 5,090.69

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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.