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Finding the Fourth Proportional to 8,209.35, 12,314.97 and 2,366.01

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Solution

The fourth proportional to 8,209.35, 12,314.97 and 2,366.01 is: 3,549.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.35 : 12,314.97 = 2,366.01 : x
  2. Step 2: Convert to fraction form
    8,209.35/12,314.97 = 2,366.01/x
  3. Step 3: Cross multiply
    8,209.35x = 12,314.97 × 2,366.01
  4. Step 4: Simplify right side
    8,209.35x = 29,137,342.17
  5. Step 5: Solve for x
    x = 29,137,342.17/8,209.35
  6. Step 6: Final answer
    x = 3,549.29

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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.