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Finding the Fourth Proportional to 6,278.44, 9,417.12 and 2,382.88

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Solution

The fourth proportional to 6,278.44, 9,417.12 and 2,382.88 is: 3,574.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.44 : 9,417.12 = 2,382.88 : x
  2. Step 2: Convert to fraction form
    6,278.44/9,417.12 = 2,382.88/x
  3. Step 3: Cross multiply
    6,278.44x = 9,417.12 × 2,382.88
  4. Step 4: Simplify right side
    6,278.44x = 22,439,866.91
  5. Step 5: Solve for x
    x = 22,439,866.91/6,278.44
  6. Step 6: Final answer
    x = 3,574.12

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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.