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Finding the Fourth Proportional to 6,177.67, 9,255.66 and 5,144.32

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Solution

The fourth proportional to 6,177.67, 9,255.66 and 5,144.32 is: 7,707.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.67 : 9,255.66 = 5,144.32 : x
  2. Step 2: Convert to fraction form
    6,177.67/9,255.66 = 5,144.32/x
  3. Step 3: Cross multiply
    6,177.67x = 9,255.66 × 5,144.32
  4. Step 4: Simplify right side
    6,177.67x = 47,614,076.85
  5. Step 5: Solve for x
    x = 47,614,076.85/6,177.67
  6. Step 6: Final answer
    x = 7,707.45

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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.