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Finding the Fourth Proportional to 9,740.22, 13,435.27 and 6,754.97

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Solution

The fourth proportional to 9,740.22, 13,435.27 and 6,754.97 is: 9,317.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,740.22 : 13,435.27 = 6,754.97 : x
  2. Step 2: Convert to fraction form
    9,740.22/13,435.27 = 6,754.97/x
  3. Step 3: Cross multiply
    9,740.22x = 13,435.27 × 6,754.97
  4. Step 4: Simplify right side
    9,740.22x = 90,754,847.01
  5. Step 5: Solve for x
    x = 90,754,847.01/9,740.22
  6. Step 6: Final answer
    x = 9,317.53

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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.