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Finding the Fourth Proportional to 6,278.80, 9,418.20 and 5,702.80

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Solution

The fourth proportional to 6,278.80, 9,418.20 and 5,702.80 is: 8,554.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,278.80 : 9,418.20 = 5,702.80 : x
  2. Step 2: Convert to fraction form
    6,278.80/9,418.20 = 5,702.80/x
  3. Step 3: Cross multiply
    6,278.80x = 9,418.20 × 5,702.80
  4. Step 4: Simplify right side
    6,278.80x = 53,710,110.96
  5. Step 5: Solve for x
    x = 53,710,110.96/6,278.80
  6. Step 6: Final answer
    x = 8,554.20

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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.