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Finding the Fourth Proportional to 7,033.12, 9,705.54 and 3,889.24

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Solution

The fourth proportional to 7,033.12, 9,705.54 and 3,889.24 is: 5,367.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,033.12 : 9,705.54 = 3,889.24 : x
  2. Step 2: Convert to fraction form
    7,033.12/9,705.54 = 3,889.24/x
  3. Step 3: Cross multiply
    7,033.12x = 9,705.54 × 3,889.24
  4. Step 4: Simplify right side
    7,033.12x = 37,747,174.39
  5. Step 5: Solve for x
    x = 37,747,174.39/7,033.12
  6. Step 6: Final answer
    x = 5,367.06

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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.