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Finding the Fourth Proportional to 6,527.91, 9,793.53 and 2,145.41

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Solution

The fourth proportional to 6,527.91, 9,793.53 and 2,145.41 is: 3,218.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.91 : 9,793.53 = 2,145.41 : x
  2. Step 2: Convert to fraction form
    6,527.91/9,793.53 = 2,145.41/x
  3. Step 3: Cross multiply
    6,527.91x = 9,793.53 × 2,145.41
  4. Step 4: Simplify right side
    6,527.91x = 21,011,088.23
  5. Step 5: Solve for x
    x = 21,011,088.23/6,527.91
  6. Step 6: Final answer
    x = 3,218.65

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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.