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Finding the Fourth Proportional to 6,281.60, 9,422.40 and 2,770.86

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Solution

The fourth proportional to 6,281.60, 9,422.40 and 2,770.86 is: 4,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,281.60 : 9,422.40 = 2,770.86 : x
  2. Step 2: Convert to fraction form
    6,281.60/9,422.40 = 2,770.86/x
  3. Step 3: Cross multiply
    6,281.60x = 9,422.40 × 2,770.86
  4. Step 4: Simplify right side
    6,281.60x = 26,108,151.26
  5. Step 5: Solve for x
    x = 26,108,151.26/6,281.60
  6. Step 6: Final answer
    x = 4,156.29

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.