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Finding the Fourth Proportional to 6,535.85, 9,017.01 and 4,015.94

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Solution

The fourth proportional to 6,535.85, 9,017.01 and 4,015.94 is: 5,540.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.85 : 9,017.01 = 4,015.94 : x
  2. Step 2: Convert to fraction form
    6,535.85/9,017.01 = 4,015.94/x
  3. Step 3: Cross multiply
    6,535.85x = 9,017.01 × 4,015.94
  4. Step 4: Simplify right side
    6,535.85x = 36,211,726.05
  5. Step 5: Solve for x
    x = 36,211,726.05/6,535.85
  6. Step 6: Final answer
    x = 5,540.48

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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.