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Finding the Fourth Proportional to 9,114.26, 12,578.22 and 6,084.18

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Solution

The fourth proportional to 9,114.26, 12,578.22 and 6,084.18 is: 8,396.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,114.26 : 12,578.22 = 6,084.18 : x
  2. Step 2: Convert to fraction form
    9,114.26/12,578.22 = 6,084.18/x
  3. Step 3: Cross multiply
    9,114.26x = 12,578.22 × 6,084.18
  4. Step 4: Simplify right side
    9,114.26x = 76,528,154.56
  5. Step 5: Solve for x
    x = 76,528,154.56/9,114.26
  6. Step 6: Final answer
    x = 8,396.53

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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.