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Finding the Fourth Proportional to 9,032.99, 13,551.93 and 3,766.26

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Solution

The fourth proportional to 9,032.99, 13,551.93 and 3,766.26 is: 5,650.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,032.99 : 13,551.93 = 3,766.26 : x
  2. Step 2: Convert to fraction form
    9,032.99/13,551.93 = 3,766.26/x
  3. Step 3: Cross multiply
    9,032.99x = 13,551.93 × 3,766.26
  4. Step 4: Simplify right side
    9,032.99x = 51,040,073.05
  5. Step 5: Solve for x
    x = 51,040,073.05/9,032.99
  6. Step 6: Final answer
    x = 5,650.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.