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Finding the Fourth Proportional to 10,832.67, 14,934.68 and 9,725.50

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Solution

The fourth proportional to 10,832.67, 14,934.68 and 9,725.50 is: 13,408.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.67 : 14,934.68 = 9,725.50 : x
  2. Step 2: Convert to fraction form
    10,832.67/14,934.68 = 9,725.50/x
  3. Step 3: Cross multiply
    10,832.67x = 14,934.68 × 9,725.50
  4. Step 4: Simplify right side
    10,832.67x = 145,247,236.85
  5. Step 5: Solve for x
    x = 145,247,236.85/10,832.67
  6. Step 6: Final answer
    x = 13,408.26

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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.