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Finding the Fourth Proportional to 6,712.32, 9,261.62 and 3,878.68

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Solution

The fourth proportional to 6,712.32, 9,261.62 and 3,878.68 is: 5,351.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.32 : 9,261.62 = 3,878.68 : x
  2. Step 2: Convert to fraction form
    6,712.32/9,261.62 = 3,878.68/x
  3. Step 3: Cross multiply
    6,712.32x = 9,261.62 × 3,878.68
  4. Step 4: Simplify right side
    6,712.32x = 35,922,860.26
  5. Step 5: Solve for x
    x = 35,922,860.26/6,712.32
  6. Step 6: Final answer
    x = 5,351.78

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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.