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Finding the Fourth Proportional to 6,287.85, 9,432.80 and 2,128.11

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Solution

The fourth proportional to 6,287.85, 9,432.80 and 2,128.11 is: 3,192.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,287.85 : 9,432.80 = 2,128.11 : x
  2. Step 2: Convert to fraction form
    6,287.85/9,432.80 = 2,128.11/x
  3. Step 3: Cross multiply
    6,287.85x = 9,432.80 × 2,128.11
  4. Step 4: Simplify right side
    6,287.85x = 20,074,025.37
  5. Step 5: Solve for x
    x = 20,074,025.37/6,287.85
  6. Step 6: Final answer
    x = 3,192.51

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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.