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Finding the Fourth Proportional to 10,326.86, 15,546.49 and 9,408.32

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Solution

The fourth proportional to 10,326.86, 15,546.49 and 9,408.32 is: 14,163.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,326.86 : 15,546.49 = 9,408.32 : x
  2. Step 2: Convert to fraction form
    10,326.86/15,546.49 = 9,408.32/x
  3. Step 3: Cross multiply
    10,326.86x = 15,546.49 × 9,408.32
  4. Step 4: Simplify right side
    10,326.86x = 146,266,403.42
  5. Step 5: Solve for x
    x = 146,266,403.42/10,326.86
  6. Step 6: Final answer
    x = 14,163.68

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.