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Finding the Fourth Proportional to 9,326.14, 12,869.15 and 5,346.68

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Solution

The fourth proportional to 9,326.14, 12,869.15 and 5,346.68 is: 7,377.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.14 : 12,869.15 = 5,346.68 : x
  2. Step 2: Convert to fraction form
    9,326.14/12,869.15 = 5,346.68/x
  3. Step 3: Cross multiply
    9,326.14x = 12,869.15 × 5,346.68
  4. Step 4: Simplify right side
    9,326.14x = 68,807,135.84
  5. Step 5: Solve for x
    x = 68,807,135.84/9,326.14
  6. Step 6: Final answer
    x = 7,377.88

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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.