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Finding the Fourth Proportional to 9,969.46, 13,757.80 and 5,493.24

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Solution

The fourth proportional to 9,969.46, 13,757.80 and 5,493.24 is: 7,580.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,969.46 : 13,757.80 = 5,493.24 : x
  2. Step 2: Convert to fraction form
    9,969.46/13,757.80 = 5,493.24/x
  3. Step 3: Cross multiply
    9,969.46x = 13,757.80 × 5,493.24
  4. Step 4: Simplify right side
    9,969.46x = 75,574,897.27
  5. Step 5: Solve for x
    x = 75,574,897.27/9,969.46
  6. Step 6: Final answer
    x = 7,580.64

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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.