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Finding the Fourth Proportional to 6,209.80, 9,318.80 and 2,314.08

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Solution

The fourth proportional to 6,209.80, 9,318.80 and 2,314.08 is: 3,472.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,209.80 : 9,318.80 = 2,314.08 : x
  2. Step 2: Convert to fraction form
    6,209.80/9,318.80 = 2,314.08/x
  3. Step 3: Cross multiply
    6,209.80x = 9,318.80 × 2,314.08
  4. Step 4: Simplify right side
    6,209.80x = 21,564,448.70
  5. Step 5: Solve for x
    x = 21,564,448.70/6,209.80
  6. Step 6: Final answer
    x = 3,472.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.