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Finding the Fourth Proportional to 6,535.80, 9,015.90 and 4,141.44

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Solution

The fourth proportional to 6,535.80, 9,015.90 and 4,141.44 is: 5,712.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.80 : 9,015.90 = 4,141.44 : x
  2. Step 2: Convert to fraction form
    6,535.80/9,015.90 = 4,141.44/x
  3. Step 3: Cross multiply
    6,535.80x = 9,015.90 × 4,141.44
  4. Step 4: Simplify right side
    6,535.80x = 37,338,808.90
  5. Step 5: Solve for x
    x = 37,338,808.90/6,535.80
  6. Step 6: Final answer
    x = 5,712.97

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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.