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Finding the Fourth Proportional to 7,028.24, 9,698.12 and 3,884.48

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Solution

The fourth proportional to 7,028.24, 9,698.12 and 3,884.48 is: 5,360.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,028.24 : 9,698.12 = 3,884.48 : x
  2. Step 2: Convert to fraction form
    7,028.24/9,698.12 = 3,884.48/x
  3. Step 3: Cross multiply
    7,028.24x = 9,698.12 × 3,884.48
  4. Step 4: Simplify right side
    7,028.24x = 37,672,153.18
  5. Step 5: Solve for x
    x = 37,672,153.18/7,028.24
  6. Step 6: Final answer
    x = 5,360.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.