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Finding the Fourth Proportional to 6,517.32, 9,775.98 and 4,578.18

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Solution

The fourth proportional to 6,517.32, 9,775.98 and 4,578.18 is: 6,867.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.32 : 9,775.98 = 4,578.18 : x
  2. Step 2: Convert to fraction form
    6,517.32/9,775.98 = 4,578.18/x
  3. Step 3: Cross multiply
    6,517.32x = 9,775.98 × 4,578.18
  4. Step 4: Simplify right side
    6,517.32x = 44,756,196.12
  5. Step 5: Solve for x
    x = 44,756,196.12/6,517.32
  6. Step 6: Final answer
    x = 6,867.27

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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.