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Finding the Fourth Proportional to 9,284.49, 12,812.41 and 5,251.24

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Solution

The fourth proportional to 9,284.49, 12,812.41 and 5,251.24 is: 7,246.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.49 : 12,812.41 = 5,251.24 : x
  2. Step 2: Convert to fraction form
    9,284.49/12,812.41 = 5,251.24/x
  3. Step 3: Cross multiply
    9,284.49x = 12,812.41 × 5,251.24
  4. Step 4: Simplify right side
    9,284.49x = 67,281,039.89
  5. Step 5: Solve for x
    x = 67,281,039.89/9,284.49
  6. Step 6: Final answer
    x = 7,246.61

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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.