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Finding the Fourth Proportional to 8,469.26, 12,702 and 2,922.38

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Solution

The fourth proportional to 8,469.26, 12,702 and 2,922.38 is: 4,382.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.26 : 12,702 = 2,922.38 : x
  2. Step 2: Convert to fraction form
    8,469.26/12,702 = 2,922.38/x
  3. Step 3: Cross multiply
    8,469.26x = 12,702 × 2,922.38
  4. Step 4: Simplify right side
    8,469.26x = 37,120,070.76
  5. Step 5: Solve for x
    x = 37,120,070.76/8,469.26
  6. Step 6: Final answer
    x = 4,382.92

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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.