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Finding the Fourth Proportional to 6,500.16, 8,972.55 and 3,847.59

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Solution

The fourth proportional to 6,500.16, 8,972.55 and 3,847.59 is: 5,311.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,500.16 : 8,972.55 = 3,847.59 : x
  2. Step 2: Convert to fraction form
    6,500.16/8,972.55 = 3,847.59/x
  3. Step 3: Cross multiply
    6,500.16x = 8,972.55 × 3,847.59
  4. Step 4: Simplify right side
    6,500.16x = 34,522,693.65
  5. Step 5: Solve for x
    x = 34,522,693.65/6,500.16
  6. Step 6: Final answer
    x = 5,311.05

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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.