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Finding the Fourth Proportional to 9,076.99, 12,527.61 and 5,542.24

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Solution

The fourth proportional to 9,076.99, 12,527.61 and 5,542.24 is: 7,649.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.99 : 12,527.61 = 5,542.24 : x
  2. Step 2: Convert to fraction form
    9,076.99/12,527.61 = 5,542.24/x
  3. Step 3: Cross multiply
    9,076.99x = 12,527.61 × 5,542.24
  4. Step 4: Simplify right side
    9,076.99x = 69,431,021.25
  5. Step 5: Solve for x
    x = 69,431,021.25/9,076.99
  6. Step 6: Final answer
    x = 7,649.12

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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.