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Finding the Fourth Proportional to 9,446.72, 13,033.12 and 6,091.52

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Solution

The fourth proportional to 9,446.72, 13,033.12 and 6,091.52 is: 8,404.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,446.72 : 13,033.12 = 6,091.52 : x
  2. Step 2: Convert to fraction form
    9,446.72/13,033.12 = 6,091.52/x
  3. Step 3: Cross multiply
    9,446.72x = 13,033.12 × 6,091.52
  4. Step 4: Simplify right side
    9,446.72x = 79,391,511.14
  5. Step 5: Solve for x
    x = 79,391,511.14/9,446.72
  6. Step 6: Final answer
    x = 8,404.14

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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.