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Finding the Fourth Proportional to 9,028.74, 12,431.97 and 7,903.38

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Solution

The fourth proportional to 9,028.74, 12,431.97 and 7,903.38 is: 10,882.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,028.74 : 12,431.97 = 7,903.38 : x
  2. Step 2: Convert to fraction form
    9,028.74/12,431.97 = 7,903.38/x
  3. Step 3: Cross multiply
    9,028.74x = 12,431.97 × 7,903.38
  4. Step 4: Simplify right side
    9,028.74x = 98,254,583.06
  5. Step 5: Solve for x
    x = 98,254,583.06/9,028.74
  6. Step 6: Final answer
    x = 10,882.42

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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.