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Finding the Fourth Proportional to 9,251.20, 12,767.46 and 5,271.46

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Solution

The fourth proportional to 9,251.20, 12,767.46 and 5,271.46 is: 7,275.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.20 : 12,767.46 = 5,271.46 : x
  2. Step 2: Convert to fraction form
    9,251.20/12,767.46 = 5,271.46/x
  3. Step 3: Cross multiply
    9,251.20x = 12,767.46 × 5,271.46
  4. Step 4: Simplify right side
    9,251.20x = 67,303,154.69
  5. Step 5: Solve for x
    x = 67,303,154.69/9,251.20
  6. Step 6: Final answer
    x = 7,275.07

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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.