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Finding the Fourth Proportional to 9,669.63, 13,343.45 and 5,689.97

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Solution

The fourth proportional to 9,669.63, 13,343.45 and 5,689.97 is: 7,851.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,669.63 : 13,343.45 = 5,689.97 : x
  2. Step 2: Convert to fraction form
    9,669.63/13,343.45 = 5,689.97/x
  3. Step 3: Cross multiply
    9,669.63x = 13,343.45 × 5,689.97
  4. Step 4: Simplify right side
    9,669.63x = 75,923,735.03
  5. Step 5: Solve for x
    x = 75,923,735.03/9,669.63
  6. Step 6: Final answer
    x = 7,851.77

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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.