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Finding the Fourth Proportional to 6,686.99, 9,228.15 and 3,702.82

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Solution

The fourth proportional to 6,686.99, 9,228.15 and 3,702.82 is: 5,109.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.99 : 9,228.15 = 3,702.82 : x
  2. Step 2: Convert to fraction form
    6,686.99/9,228.15 = 3,702.82/x
  3. Step 3: Cross multiply
    6,686.99x = 9,228.15 × 3,702.82
  4. Step 4: Simplify right side
    6,686.99x = 34,170,159.87
  5. Step 5: Solve for x
    x = 34,170,159.87/6,686.99
  6. Step 6: Final answer
    x = 5,109.95

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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.