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Finding the Fourth Proportional to 6,690.80, 9,230.34 and 4,702.66

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Solution

The fourth proportional to 6,690.80, 9,230.34 and 4,702.66 is: 6,487.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.80 : 9,230.34 = 4,702.66 : x
  2. Step 2: Convert to fraction form
    6,690.80/9,230.34 = 4,702.66/x
  3. Step 3: Cross multiply
    6,690.80x = 9,230.34 × 4,702.66
  4. Step 4: Simplify right side
    6,690.80x = 43,407,104.55
  5. Step 5: Solve for x
    x = 43,407,104.55/6,690.80
  6. Step 6: Final answer
    x = 6,487.58

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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.