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Finding the Fourth Proportional to 6,114.72, 9,174.51 and 2,829.36

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Solution

The fourth proportional to 6,114.72, 9,174.51 and 2,829.36 is: 4,245.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,114.72 : 9,174.51 = 2,829.36 : x
  2. Step 2: Convert to fraction form
    6,114.72/9,174.51 = 2,829.36/x
  3. Step 3: Cross multiply
    6,114.72x = 9,174.51 × 2,829.36
  4. Step 4: Simplify right side
    6,114.72x = 25,957,991.61
  5. Step 5: Solve for x
    x = 25,957,991.61/6,114.72
  6. Step 6: Final answer
    x = 4,245.16

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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.