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Finding the Fourth Proportional to 6,686.53, 9,226.63 and 3,702.35

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Solution

The fourth proportional to 6,686.53, 9,226.63 and 3,702.35 is: 5,108.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,686.53 : 9,226.63 = 3,702.35 : x
  2. Step 2: Convert to fraction form
    6,686.53/9,226.63 = 3,702.35/x
  3. Step 3: Cross multiply
    6,686.53x = 9,226.63 × 3,702.35
  4. Step 4: Simplify right side
    6,686.53x = 34,160,213.58
  5. Step 5: Solve for x
    x = 34,160,213.58/6,686.53
  6. Step 6: Final answer
    x = 5,108.81

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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.