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Finding the Fourth Proportional to 6,690.30, 9,229.65 and 4,702.16

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Solution

The fourth proportional to 6,690.30, 9,229.65 and 4,702.16 is: 6,486.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,690.30 : 9,229.65 = 4,702.16 : x
  2. Step 2: Convert to fraction form
    6,690.30/9,229.65 = 4,702.16/x
  3. Step 3: Cross multiply
    6,690.30x = 9,229.65 × 4,702.16
  4. Step 4: Simplify right side
    6,690.30x = 43,399,244.90
  5. Step 5: Solve for x
    x = 43,399,244.90/6,690.30
  6. Step 6: Final answer
    x = 6,486.89

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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.