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Finding the Fourth Proportional to 9,284.87, 12,809.84 and 5,251.16

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Solution

The fourth proportional to 9,284.87, 12,809.84 and 5,251.16 is: 7,244.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.87 : 12,809.84 = 5,251.16 : x
  2. Step 2: Convert to fraction form
    9,284.87/12,809.84 = 5,251.16/x
  3. Step 3: Cross multiply
    9,284.87x = 12,809.84 × 5,251.16
  4. Step 4: Simplify right side
    9,284.87x = 67,266,429.11
  5. Step 5: Solve for x
    x = 67,266,429.11/9,284.87
  6. Step 6: Final answer
    x = 7,244.74

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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.