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Finding the Fourth Proportional to 6,200.65, 9,284.52 and 3,732.08

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Solution

The fourth proportional to 6,200.65, 9,284.52 and 3,732.08 is: 5,588.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.65 : 9,284.52 = 3,732.08 : x
  2. Step 2: Convert to fraction form
    6,200.65/9,284.52 = 3,732.08/x
  3. Step 3: Cross multiply
    6,200.65x = 9,284.52 × 3,732.08
  4. Step 4: Simplify right side
    6,200.65x = 34,650,538.97
  5. Step 5: Solve for x
    x = 34,650,538.97/6,200.65
  6. Step 6: Final answer
    x = 5,588.21

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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.