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Finding the Fourth Proportional to 6,177.39, 9,254.47 and 3,053.76

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Solution

The fourth proportional to 6,177.39, 9,254.47 and 3,053.76 is: 4,574.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.39 : 9,254.47 = 3,053.76 : x
  2. Step 2: Convert to fraction form
    6,177.39/9,254.47 = 3,053.76/x
  3. Step 3: Cross multiply
    6,177.39x = 9,254.47 × 3,053.76
  4. Step 4: Simplify right side
    6,177.39x = 28,260,930.31
  5. Step 5: Solve for x
    x = 28,260,930.31/6,177.39
  6. Step 6: Final answer
    x = 4,574.90

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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.