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Finding the Fourth Proportional to 6,317.77, 9,478.05 and 2,422.18

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Solution

The fourth proportional to 6,317.77, 9,478.05 and 2,422.18 is: 3,633.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,317.77 : 9,478.05 = 2,422.18 : x
  2. Step 2: Convert to fraction form
    6,317.77/9,478.05 = 2,422.18/x
  3. Step 3: Cross multiply
    6,317.77x = 9,478.05 × 2,422.18
  4. Step 4: Simplify right side
    6,317.77x = 22,957,543.15
  5. Step 5: Solve for x
    x = 22,957,543.15/6,317.77
  6. Step 6: Final answer
    x = 3,633.80

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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.