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Finding the Fourth Proportional to 6,527.46, 9,789.12 and 2,143.90

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Solution

The fourth proportional to 6,527.46, 9,789.12 and 2,143.90 is: 3,215.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,527.46 : 9,789.12 = 2,143.90 : x
  2. Step 2: Convert to fraction form
    6,527.46/9,789.12 = 2,143.90/x
  3. Step 3: Cross multiply
    6,527.46x = 9,789.12 × 2,143.90
  4. Step 4: Simplify right side
    6,527.46x = 20,986,894.37
  5. Step 5: Solve for x
    x = 20,986,894.37/6,527.46
  6. Step 6: Final answer
    x = 3,215.17

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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.