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Finding the Fourth Proportional to 6,832.08, 9,427.08 and 4,036.56

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Solution

The fourth proportional to 6,832.08, 9,427.08 and 4,036.56 is: 5,569.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.08 : 9,427.08 = 4,036.56 : x
  2. Step 2: Convert to fraction form
    6,832.08/9,427.08 = 4,036.56/x
  3. Step 3: Cross multiply
    6,832.08x = 9,427.08 × 4,036.56
  4. Step 4: Simplify right side
    6,832.08x = 38,052,974.04
  5. Step 5: Solve for x
    x = 38,052,974.04/6,832.08
  6. Step 6: Final answer
    x = 5,569.75

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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.