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Finding the Fourth Proportional to 6,177.47, 9,254.55 and 3,053.85

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Solution

The fourth proportional to 6,177.47, 9,254.55 and 3,053.85 is: 4,575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.47 : 9,254.55 = 3,053.85 : x
  2. Step 2: Convert to fraction form
    6,177.47/9,254.55 = 3,053.85/x
  3. Step 3: Cross multiply
    6,177.47x = 9,254.55 × 3,053.85
  4. Step 4: Simplify right side
    6,177.47x = 28,262,007.52
  5. Step 5: Solve for x
    x = 28,262,007.52/6,177.47
  6. Step 6: Final answer
    x = 4,575.02

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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.