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Finding the Fourth Proportional to 9,351.25, 12,904.97 and 5,102.38

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Solution

The fourth proportional to 9,351.25, 12,904.97 and 5,102.38 is: 7,041.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.25 : 12,904.97 = 5,102.38 : x
  2. Step 2: Convert to fraction form
    9,351.25/12,904.97 = 5,102.38/x
  3. Step 3: Cross multiply
    9,351.25x = 12,904.97 × 5,102.38
  4. Step 4: Simplify right side
    9,351.25x = 65,846,060.83
  5. Step 5: Solve for x
    x = 65,846,060.83/9,351.25
  6. Step 6: Final answer
    x = 7,041.42

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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.