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Finding the Fourth Proportional to 7,000.97, 9,661.34 and 4,016.68

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Solution

The fourth proportional to 7,000.97, 9,661.34 and 4,016.68 is: 5,543.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,000.97 : 9,661.34 = 4,016.68 : x
  2. Step 2: Convert to fraction form
    7,000.97/9,661.34 = 4,016.68/x
  3. Step 3: Cross multiply
    7,000.97x = 9,661.34 × 4,016.68
  4. Step 4: Simplify right side
    7,000.97x = 38,806,481.98
  5. Step 5: Solve for x
    x = 38,806,481.98/7,000.97
  6. Step 6: Final answer
    x = 5,543.02

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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.