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Finding the Fourth Proportional to 9,045.14, 12,481.02 and 5,265.38

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Solution

The fourth proportional to 9,045.14, 12,481.02 and 5,265.38 is: 7,265.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,045.14 : 12,481.02 = 5,265.38 : x
  2. Step 2: Convert to fraction form
    9,045.14/12,481.02 = 5,265.38/x
  3. Step 3: Cross multiply
    9,045.14x = 12,481.02 × 5,265.38
  4. Step 4: Simplify right side
    9,045.14x = 65,717,313.09
  5. Step 5: Solve for x
    x = 65,717,313.09/9,045.14
  6. Step 6: Final answer
    x = 7,265.48

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.