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Finding the Fourth Proportional to 6,456.12, 9,671.64 and 3,781.24

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Solution

The fourth proportional to 6,456.12, 9,671.64 and 3,781.24 is: 5,664.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,456.12 : 9,671.64 = 3,781.24 : x
  2. Step 2: Convert to fraction form
    6,456.12/9,671.64 = 3,781.24/x
  3. Step 3: Cross multiply
    6,456.12x = 9,671.64 × 3,781.24
  4. Step 4: Simplify right side
    6,456.12x = 36,570,792.03
  5. Step 5: Solve for x
    x = 36,570,792.03/6,456.12
  6. Step 6: Final answer
    x = 5,664.52

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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.