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Finding the Fourth Proportional to 6,535.52, 9,805.34 and 2,374.42

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Solution

The fourth proportional to 6,535.52, 9,805.34 and 2,374.42 is: 3,562.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,535.52 : 9,805.34 = 2,374.42 : x
  2. Step 2: Convert to fraction form
    6,535.52/9,805.34 = 2,374.42/x
  3. Step 3: Cross multiply
    6,535.52x = 9,805.34 × 2,374.42
  4. Step 4: Simplify right side
    6,535.52x = 23,282,019.92
  5. Step 5: Solve for x
    x = 23,282,019.92/6,535.52
  6. Step 6: Final answer
    x = 3,562.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.