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Finding the Fourth Proportional to 9,326.10, 12,869.62 and 5,346.97

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Solution

The fourth proportional to 9,326.10, 12,869.62 and 5,346.97 is: 7,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.10 : 12,869.62 = 5,346.97 : x
  2. Step 2: Convert to fraction form
    9,326.10/12,869.62 = 5,346.97/x
  3. Step 3: Cross multiply
    9,326.10x = 12,869.62 × 5,346.97
  4. Step 4: Simplify right side
    9,326.10x = 68,813,472.05
  5. Step 5: Solve for x
    x = 68,813,472.05/9,326.10
  6. Step 6: Final answer
    x = 7,378.59

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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.