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Finding the Fourth Proportional to 6,787.04, 9,365.52 and 3,992

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Solution

The fourth proportional to 6,787.04, 9,365.52 and 3,992 is: 5,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,787.04 : 9,365.52 = 3,992 : x
  2. Step 2: Convert to fraction form
    6,787.04/9,365.52 = 3,992/x
  3. Step 3: Cross multiply
    6,787.04x = 9,365.52 × 3,992
  4. Step 4: Simplify right side
    6,787.04x = 37,387,155.84
  5. Step 5: Solve for x
    x = 37,387,155.84/6,787.04
  6. Step 6: Final answer
    x = 5,508.61

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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.