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Finding the Fourth Proportional to 6,277.42, 8,668.65 and 4,702.78

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Solution

The fourth proportional to 6,277.42, 8,668.65 and 4,702.78 is: 6,494.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,277.42 : 8,668.65 = 4,702.78 : x
  2. Step 2: Convert to fraction form
    6,277.42/8,668.65 = 4,702.78/x
  3. Step 3: Cross multiply
    6,277.42x = 8,668.65 × 4,702.78
  4. Step 4: Simplify right side
    6,277.42x = 40,766,753.85
  5. Step 5: Solve for x
    x = 40,766,753.85/6,277.42
  6. Step 6: Final answer
    x = 6,494.19

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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.