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Finding the Fourth Proportional to 9,232.23, 12,747.74 and 7,434

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Solution

The fourth proportional to 9,232.23, 12,747.74 and 7,434 is: 10,264.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,232.23 : 12,747.74 = 7,434 : x
  2. Step 2: Convert to fraction form
    9,232.23/12,747.74 = 7,434/x
  3. Step 3: Cross multiply
    9,232.23x = 12,747.74 × 7,434
  4. Step 4: Simplify right side
    9,232.23x = 94,766,661.99
  5. Step 5: Solve for x
    x = 94,766,661.99/9,232.23
  6. Step 6: Final answer
    x = 10,264.76

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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.