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Finding the Fourth Proportional to 9,754.11, 14,632.02 and 4,755.24

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Solution

The fourth proportional to 9,754.11, 14,632.02 and 4,755.24 is: 7,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.11 : 14,632.02 = 4,755.24 : x
  2. Step 2: Convert to fraction form
    9,754.11/14,632.02 = 4,755.24/x
  3. Step 3: Cross multiply
    9,754.11x = 14,632.02 × 4,755.24
  4. Step 4: Simplify right side
    9,754.11x = 69,578,766.78
  5. Step 5: Solve for x
    x = 69,578,766.78/9,754.11
  6. Step 6: Final answer
    x = 7,133.28

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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.