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Finding the Fourth Proportional to 6,520.60, 9,758.94 and 5,981.08

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Solution

The fourth proportional to 6,520.60, 9,758.94 and 5,981.08 is: 8,951.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.60 : 9,758.94 = 5,981.08 : x
  2. Step 2: Convert to fraction form
    6,520.60/9,758.94 = 5,981.08/x
  3. Step 3: Cross multiply
    6,520.60x = 9,758.94 × 5,981.08
  4. Step 4: Simplify right side
    6,520.60x = 58,369,000.86
  5. Step 5: Solve for x
    x = 58,369,000.86/6,520.60
  6. Step 6: Final answer
    x = 8,951.48

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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.