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Finding the Fourth Proportional to 6,832.80, 9,427.68 and 4,038.48

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Solution

The fourth proportional to 6,832.80, 9,427.68 and 4,038.48 is: 5,572.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,832.80 : 9,427.68 = 4,038.48 : x
  2. Step 2: Convert to fraction form
    6,832.80/9,427.68 = 4,038.48/x
  3. Step 3: Cross multiply
    6,832.80x = 9,427.68 × 4,038.48
  4. Step 4: Simplify right side
    6,832.80x = 38,073,497.13
  5. Step 5: Solve for x
    x = 38,073,497.13/6,832.80
  6. Step 6: Final answer
    x = 5,572.17

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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.