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Finding the Fourth Proportional to 6,412.32, 9,612.72 and 3,324.96

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Solution

The fourth proportional to 6,412.32, 9,612.72 and 3,324.96 is: 4,984.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,412.32 : 9,612.72 = 3,324.96 : x
  2. Step 2: Convert to fraction form
    6,412.32/9,612.72 = 3,324.96/x
  3. Step 3: Cross multiply
    6,412.32x = 9,612.72 × 3,324.96
  4. Step 4: Simplify right side
    6,412.32x = 31,961,909.49
  5. Step 5: Solve for x
    x = 31,961,909.49/6,412.32
  6. Step 6: Final answer
    x = 4,984.45

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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.