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Finding the Fourth Proportional to 6,367.47, 9,552.86 and 2,418.80

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Solution

The fourth proportional to 6,367.47, 9,552.86 and 2,418.80 is: 3,628.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.47 : 9,552.86 = 2,418.80 : x
  2. Step 2: Convert to fraction form
    6,367.47/9,552.86 = 2,418.80/x
  3. Step 3: Cross multiply
    6,367.47x = 9,552.86 × 2,418.80
  4. Step 4: Simplify right side
    6,367.47x = 23,106,445.67
  5. Step 5: Solve for x
    x = 23,106,445.67/6,367.47
  6. Step 6: Final answer
    x = 3,628.83

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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.