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Finding the Fourth Proportional to 6,561.85, 9,847.38 and 5,934.45

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Solution

The fourth proportional to 6,561.85, 9,847.38 and 5,934.45 is: 8,905.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,561.85 : 9,847.38 = 5,934.45 : x
  2. Step 2: Convert to fraction form
    6,561.85/9,847.38 = 5,934.45/x
  3. Step 3: Cross multiply
    6,561.85x = 9,847.38 × 5,934.45
  4. Step 4: Simplify right side
    6,561.85x = 58,438,824.96
  5. Step 5: Solve for x
    x = 58,438,824.96/6,561.85
  6. Step 6: Final answer
    x = 8,905.85

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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.