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Finding the Fourth Proportional to 6,288.32, 9,432.38 and 1,608.29

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Solution

The fourth proportional to 6,288.32, 9,432.38 and 1,608.29 is: 2,412.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,288.32 : 9,432.38 = 1,608.29 : x
  2. Step 2: Convert to fraction form
    6,288.32/9,432.38 = 1,608.29/x
  3. Step 3: Cross multiply
    6,288.32x = 9,432.38 × 1,608.29
  4. Step 4: Simplify right side
    6,288.32x = 15,169,998.05
  5. Step 5: Solve for x
    x = 15,169,998.05/6,288.32
  6. Step 6: Final answer
    x = 2,412.41

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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.