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Finding the Fourth Proportional to 6,601.96, 9,861.89 and 5,305.96

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Solution

The fourth proportional to 6,601.96, 9,861.89 and 5,305.96 is: 7,925.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.96 : 9,861.89 = 5,305.96 : x
  2. Step 2: Convert to fraction form
    6,601.96/9,861.89 = 5,305.96/x
  3. Step 3: Cross multiply
    6,601.96x = 9,861.89 × 5,305.96
  4. Step 4: Simplify right side
    6,601.96x = 52,326,793.86
  5. Step 5: Solve for x
    x = 52,326,793.86/6,601.96
  6. Step 6: Final answer
    x = 7,925.95

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.