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Finding the Fourth Proportional to 9,182.05, 12,674.09 and 5,404.92

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Solution

The fourth proportional to 9,182.05, 12,674.09 and 5,404.92 is: 7,460.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.05 : 12,674.09 = 5,404.92 : x
  2. Step 2: Convert to fraction form
    9,182.05/12,674.09 = 5,404.92/x
  3. Step 3: Cross multiply
    9,182.05x = 12,674.09 × 5,404.92
  4. Step 4: Simplify right side
    9,182.05x = 68,502,456.04
  5. Step 5: Solve for x
    x = 68,502,456.04/9,182.05
  6. Step 6: Final answer
    x = 7,460.48

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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.