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Finding the Fourth Proportional to 9,144.36, 12,625.07 and 7,469.78

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Solution

The fourth proportional to 9,144.36, 12,625.07 and 7,469.78 is: 10,313.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.36 : 12,625.07 = 7,469.78 : x
  2. Step 2: Convert to fraction form
    9,144.36/12,625.07 = 7,469.78/x
  3. Step 3: Cross multiply
    9,144.36x = 12,625.07 × 7,469.78
  4. Step 4: Simplify right side
    9,144.36x = 94,306,394.91
  5. Step 5: Solve for x
    x = 94,306,394.91/9,144.36
  6. Step 6: Final answer
    x = 10,313.07

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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.