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Finding the Fourth Proportional to 6,290.52, 9,382.71 and 5,462.28

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Solution

The fourth proportional to 6,290.52, 9,382.71 and 5,462.28 is: 8,147.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,290.52 : 9,382.71 = 5,462.28 : x
  2. Step 2: Convert to fraction form
    6,290.52/9,382.71 = 5,462.28/x
  3. Step 3: Cross multiply
    6,290.52x = 9,382.71 × 5,462.28
  4. Step 4: Simplify right side
    6,290.52x = 51,250,989.18
  5. Step 5: Solve for x
    x = 51,250,989.18/6,290.52
  6. Step 6: Final answer
    x = 8,147.34

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.