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Finding the Fourth Proportional to 9,038.75, 13,552.73 and 3,767.41

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Solution

The fourth proportional to 9,038.75, 13,552.73 and 3,767.41 is: 5,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,038.75 : 13,552.73 = 3,767.41 : x
  2. Step 2: Convert to fraction form
    9,038.75/13,552.73 = 3,767.41/x
  3. Step 3: Cross multiply
    9,038.75x = 13,552.73 × 3,767.41
  4. Step 4: Simplify right side
    9,038.75x = 51,058,603.93
  5. Step 5: Solve for x
    x = 51,058,603.93/9,038.75
  6. Step 6: Final answer
    x = 5,648.86

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