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Finding the Fourth Proportional to 6,667.29, 9,200.61 and 3,642.30

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Solution

The fourth proportional to 6,667.29, 9,200.61 and 3,642.30 is: 5,026.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,667.29 : 9,200.61 = 3,642.30 : x
  2. Step 2: Convert to fraction form
    6,667.29/9,200.61 = 3,642.30/x
  3. Step 3: Cross multiply
    6,667.29x = 9,200.61 × 3,642.30
  4. Step 4: Simplify right side
    6,667.29x = 33,511,381.80
  5. Step 5: Solve for x
    x = 33,511,381.80/6,667.29
  6. Step 6: Final answer
    x = 5,026.24

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