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Finding the Fourth Proportional to 6,527.37, 9,785.52 and 2,143.65

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Solution

The fourth proportional to 6,527.37, 9,785.52 and 2,143.65 is: 3,213.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.37 : 9,785.52 = 2,143.65 : x
  2. Step 2: Convert to fraction form
    6,527.37/9,785.52 = 2,143.65/x
  3. Step 3: Cross multiply
    6,527.37x = 9,785.52 × 2,143.65
  4. Step 4: Simplify right side
    6,527.37x = 20,976,729.95
  5. Step 5: Solve for x
    x = 20,976,729.95/6,527.37
  6. Step 6: Final answer
    x = 3,213.66

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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.