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Finding the Fourth Proportional to 9,480.78, 14,221.11 and 3,237.78

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Solution

The fourth proportional to 9,480.78, 14,221.11 and 3,237.78 is: 4,856.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,480.78 : 14,221.11 = 3,237.78 : x
  2. Step 2: Convert to fraction form
    9,480.78/14,221.11 = 3,237.78/x
  3. Step 3: Cross multiply
    9,480.78x = 14,221.11 × 3,237.78
  4. Step 4: Simplify right side
    9,480.78x = 46,044,825.54
  5. Step 5: Solve for x
    x = 46,044,825.54/9,480.78
  6. Step 6: Final answer
    x = 4,856.65

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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.