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Finding the Fourth Proportional to 6,147.14, 9,222.54 and 2,862.18

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Solution

The fourth proportional to 6,147.14, 9,222.54 and 2,862.18 is: 4,294.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.14 : 9,222.54 = 2,862.18 : x
  2. Step 2: Convert to fraction form
    6,147.14/9,222.54 = 2,862.18/x
  3. Step 3: Cross multiply
    6,147.14x = 9,222.54 × 2,862.18
  4. Step 4: Simplify right side
    6,147.14x = 26,396,569.54
  5. Step 5: Solve for x
    x = 26,396,569.54/6,147.14
  6. Step 6: Final answer
    x = 4,294.12

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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.