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Finding the Fourth Proportional to 9,754.52, 14,632.86 and 3,910.46

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Solution

The fourth proportional to 9,754.52, 14,632.86 and 3,910.46 is: 5,866.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,754.52 : 14,632.86 = 3,910.46 : x
  2. Step 2: Convert to fraction form
    9,754.52/14,632.86 = 3,910.46/x
  3. Step 3: Cross multiply
    9,754.52x = 14,632.86 × 3,910.46
  4. Step 4: Simplify right side
    9,754.52x = 57,221,213.72
  5. Step 5: Solve for x
    x = 57,221,213.72/9,754.52
  6. Step 6: Final answer
    x = 5,866.12

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