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Finding the Fourth Proportional to 9,972.99, 13,762.11 and 5,496.78

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Solution

The fourth proportional to 9,972.99, 13,762.11 and 5,496.78 is: 7,585.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,972.99 : 13,762.11 = 5,496.78 : x
  2. Step 2: Convert to fraction form
    9,972.99/13,762.11 = 5,496.78/x
  3. Step 3: Cross multiply
    9,972.99x = 13,762.11 × 5,496.78
  4. Step 4: Simplify right side
    9,972.99x = 75,647,229.12
  5. Step 5: Solve for x
    x = 75,647,229.12/9,972.99
  6. Step 6: Final answer
    x = 7,585.21

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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.