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Finding the Fourth Proportional to 9,669.93, 13,344.39 and 5,420.97

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Solution

The fourth proportional to 9,669.93, 13,344.39 and 5,420.97 is: 7,480.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.93 : 13,344.39 = 5,420.97 : x
  2. Step 2: Convert to fraction form
    9,669.93/13,344.39 = 5,420.97/x
  3. Step 3: Cross multiply
    9,669.93x = 13,344.39 × 5,420.97
  4. Step 4: Simplify right side
    9,669.93x = 72,339,537.86
  5. Step 5: Solve for x
    x = 72,339,537.86/9,669.93
  6. Step 6: Final answer
    x = 7,480.88

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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.