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Finding the Fourth Proportional to 8,409.25, 12,612.25 and 2,862.55

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Solution

The fourth proportional to 8,409.25, 12,612.25 and 2,862.55 is: 4,293.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.25 : 12,612.25 = 2,862.55 : x
  2. Step 2: Convert to fraction form
    8,409.25/12,612.25 = 2,862.55/x
  3. Step 3: Cross multiply
    8,409.25x = 12,612.25 × 2,862.55
  4. Step 4: Simplify right side
    8,409.25x = 36,103,196.24
  5. Step 5: Solve for x
    x = 36,103,196.24/8,409.25
  6. Step 6: Final answer
    x = 4,293.27

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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.