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Finding the Fourth Proportional to 6,523.60, 9,785.92 and 1,843.64

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Solution

The fourth proportional to 6,523.60, 9,785.92 and 1,843.64 is: 2,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,523.60 : 9,785.92 = 1,843.64 : x
  2. Step 2: Convert to fraction form
    6,523.60/9,785.92 = 1,843.64/x
  3. Step 3: Cross multiply
    6,523.60x = 9,785.92 × 1,843.64
  4. Step 4: Simplify right side
    6,523.60x = 18,041,740.32
  5. Step 5: Solve for x
    x = 18,041,740.32/6,523.60
  6. Step 6: Final answer
    x = 2,765.61

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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.