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Finding the Fourth Proportional to 6,820.32, 9,418.80 and 6,432.48

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Solution

The fourth proportional to 6,820.32, 9,418.80 and 6,432.48 is: 8,883.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.32 : 9,418.80 = 6,432.48 : x
  2. Step 2: Convert to fraction form
    6,820.32/9,418.80 = 6,432.48/x
  3. Step 3: Cross multiply
    6,820.32x = 9,418.80 × 6,432.48
  4. Step 4: Simplify right side
    6,820.32x = 60,586,242.62
  5. Step 5: Solve for x
    x = 60,586,242.62/6,820.32
  6. Step 6: Final answer
    x = 8,883.20

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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.