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Finding the Fourth Proportional to 6,532.36, 9,781.16 and 4,456.46

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Solution

The fourth proportional to 6,532.36, 9,781.16 and 4,456.46 is: 6,672.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,532.36 : 9,781.16 = 4,456.46 : x
  2. Step 2: Convert to fraction form
    6,532.36/9,781.16 = 4,456.46/x
  3. Step 3: Cross multiply
    6,532.36x = 9,781.16 × 4,456.46
  4. Step 4: Simplify right side
    6,532.36x = 43,589,350.46
  5. Step 5: Solve for x
    x = 43,589,350.46/6,532.36
  6. Step 6: Final answer
    x = 6,672.84

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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.