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Finding the Fourth Proportional to 9,018.80, 13,529.28 and 3,824

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Solution

The fourth proportional to 9,018.80, 13,529.28 and 3,824 is: 5,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,018.80 : 13,529.28 = 3,824 : x
  2. Step 2: Convert to fraction form
    9,018.80/13,529.28 = 3,824/x
  3. Step 3: Cross multiply
    9,018.80x = 13,529.28 × 3,824
  4. Step 4: Simplify right side
    9,018.80x = 51,735,966.72
  5. Step 5: Solve for x
    x = 51,735,966.72/9,018.80
  6. Step 6: Final answer
    x = 5,736.46

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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.