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Finding the Fourth Proportional to 9,284.87, 12,812.46 and 5,251.68

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Solution

The fourth proportional to 9,284.87, 12,812.46 and 5,251.68 is: 7,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.87 : 12,812.46 = 5,251.68 : x
  2. Step 2: Convert to fraction form
    9,284.87/12,812.46 = 5,251.68/x
  3. Step 3: Cross multiply
    9,284.87x = 12,812.46 × 5,251.68
  4. Step 4: Simplify right side
    9,284.87x = 67,286,920.24
  5. Step 5: Solve for x
    x = 67,286,920.24/9,284.87
  6. Step 6: Final answer
    x = 7,246.94

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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.