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Finding the Fourth Proportional to 9,732.75, 13,431.20 and 5,316.75

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Solution

The fourth proportional to 9,732.75, 13,431.20 and 5,316.75 is: 7,337.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,732.75 : 13,431.20 = 5,316.75 : x
  2. Step 2: Convert to fraction form
    9,732.75/13,431.20 = 5,316.75/x
  3. Step 3: Cross multiply
    9,732.75x = 13,431.20 × 5,316.75
  4. Step 4: Simplify right side
    9,732.75x = 71,410,306.02
  5. Step 5: Solve for x
    x = 71,410,306.02/9,732.75
  6. Step 6: Final answer
    x = 7,337.12

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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.