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Finding the Fourth Proportional to 9,104.38, 12,564.01 and 5,125.51

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Solution

The fourth proportional to 9,104.38, 12,564.01 and 5,125.51 is: 7,073.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,104.38 : 12,564.01 = 5,125.51 : x
  2. Step 2: Convert to fraction form
    9,104.38/12,564.01 = 5,125.51/x
  3. Step 3: Cross multiply
    9,104.38x = 12,564.01 × 5,125.51
  4. Step 4: Simplify right side
    9,104.38x = 64,396,958.90
  5. Step 5: Solve for x
    x = 64,396,958.90/9,104.38
  6. Step 6: Final answer
    x = 7,073.18

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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.