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Finding the Fourth Proportional to 6,686.41, 9,226.92 and 3,702.19

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Solution

The fourth proportional to 6,686.41, 9,226.92 and 3,702.19 is: 5,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.41 : 9,226.92 = 3,702.19 : x
  2. Step 2: Convert to fraction form
    6,686.41/9,226.92 = 3,702.19/x
  3. Step 3: Cross multiply
    6,686.41x = 9,226.92 × 3,702.19
  4. Step 4: Simplify right side
    6,686.41x = 34,159,810.95
  5. Step 5: Solve for x
    x = 34,159,810.95/6,686.41
  6. Step 6: Final answer
    x = 5,108.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.