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Finding the Fourth Proportional to 6,463.80, 9,702.90 and 6,040.80

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Solution

The fourth proportional to 6,463.80, 9,702.90 and 6,040.80 is: 9,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.80 : 9,702.90 = 6,040.80 : x
  2. Step 2: Convert to fraction form
    6,463.80/9,702.90 = 6,040.80/x
  3. Step 3: Cross multiply
    6,463.80x = 9,702.90 × 6,040.80
  4. Step 4: Simplify right side
    6,463.80x = 58,613,278.32
  5. Step 5: Solve for x
    x = 58,613,278.32/6,463.80
  6. Step 6: Final answer
    x = 9,067.93

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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.