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Finding the Fourth Proportional to 28,222.97, 42,319.33 and 9,496.78

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Solution

The fourth proportional to 28,222.97, 42,319.33 and 9,496.78 is: 14,240.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,222.97 : 42,319.33 = 9,496.78 : x
  2. Step 2: Convert to fraction form
    28,222.97/42,319.33 = 9,496.78/x
  3. Step 3: Cross multiply
    28,222.97x = 42,319.33 × 9,496.78
  4. Step 4: Simplify right side
    28,222.97x = 401,897,237.22
  5. Step 5: Solve for x
    x = 401,897,237.22/28,222.97
  6. Step 6: Final answer
    x = 14,240.08

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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.