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Finding the Fourth Proportional to 9,278.43, 12,805.12 and 5,299.84

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Solution

The fourth proportional to 9,278.43, 12,805.12 and 5,299.84 is: 7,314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,278.43 : 12,805.12 = 5,299.84 : x
  2. Step 2: Convert to fraction form
    9,278.43/12,805.12 = 5,299.84/x
  3. Step 3: Cross multiply
    9,278.43x = 12,805.12 × 5,299.84
  4. Step 4: Simplify right side
    9,278.43x = 67,865,087.18
  5. Step 5: Solve for x
    x = 67,865,087.18/9,278.43
  6. Step 6: Final answer
    x = 7,314.29

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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.