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Finding the Fourth Proportional to 9,024.06, 13,524.54 and 3,822.78

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Solution

The fourth proportional to 9,024.06, 13,524.54 and 3,822.78 is: 5,729.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.06 : 13,524.54 = 3,822.78 : x
  2. Step 2: Convert to fraction form
    9,024.06/13,524.54 = 3,822.78/x
  3. Step 3: Cross multiply
    9,024.06x = 13,524.54 × 3,822.78
  4. Step 4: Simplify right side
    9,024.06x = 51,701,341.02
  5. Step 5: Solve for x
    x = 51,701,341.02/9,024.06
  6. Step 6: Final answer
    x = 5,729.28

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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.