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Finding the Fourth Proportional to 8,209.04, 12,314.16 and 2,365.70

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Solution

The fourth proportional to 8,209.04, 12,314.16 and 2,365.70 is: 3,548.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.04 : 12,314.16 = 2,365.70 : x
  2. Step 2: Convert to fraction form
    8,209.04/12,314.16 = 2,365.70/x
  3. Step 3: Cross multiply
    8,209.04x = 12,314.16 × 2,365.70
  4. Step 4: Simplify right side
    8,209.04x = 29,131,546.74
  5. Step 5: Solve for x
    x = 29,131,546.74/8,209.04
  6. Step 6: Final answer
    x = 3,548.72

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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.