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Finding the Fourth Proportional to 9,422.56, 14,133.78 and 2,497

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Solution

The fourth proportional to 9,422.56, 14,133.78 and 2,497 is: 3,745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.56 : 14,133.78 = 2,497 : x
  2. Step 2: Convert to fraction form
    9,422.56/14,133.78 = 2,497/x
  3. Step 3: Cross multiply
    9,422.56x = 14,133.78 × 2,497
  4. Step 4: Simplify right side
    9,422.56x = 35,292,048.66
  5. Step 5: Solve for x
    x = 35,292,048.66/9,422.56
  6. Step 6: Final answer
    x = 3,745.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.