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Finding the Fourth Proportional to 6,673.12, 9,202.92 and 4,312.80

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Solution

The fourth proportional to 6,673.12, 9,202.92 and 4,312.80 is: 5,947.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,673.12 : 9,202.92 = 4,312.80 : x
  2. Step 2: Convert to fraction form
    6,673.12/9,202.92 = 4,312.80/x
  3. Step 3: Cross multiply
    6,673.12x = 9,202.92 × 4,312.80
  4. Step 4: Simplify right side
    6,673.12x = 39,690,353.38
  5. Step 5: Solve for x
    x = 39,690,353.38/6,673.12
  6. Step 6: Final answer
    x = 5,947.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.