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Finding the Fourth Proportional to 9,233, 12,741.56 and 5,921

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Solution

The fourth proportional to 9,233, 12,741.56 and 5,921 is: 8,170.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233 : 12,741.56 = 5,921 : x
  2. Step 2: Convert to fraction form
    9,233/12,741.56 = 5,921/x
  3. Step 3: Cross multiply
    9,233x = 12,741.56 × 5,921
  4. Step 4: Simplify right side
    9,233x = 75,442,776.76
  5. Step 5: Solve for x
    x = 75,442,776.76/9,233
  6. Step 6: Final answer
    x = 8,170.99

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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.