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Finding the Fourth Proportional to 7,203.24, 9,940.72 and 4,219.36

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Solution

The fourth proportional to 7,203.24, 9,940.72 and 4,219.36 is: 5,822.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,203.24 : 9,940.72 = 4,219.36 : x
  2. Step 2: Convert to fraction form
    7,203.24/9,940.72 = 4,219.36/x
  3. Step 3: Cross multiply
    7,203.24x = 9,940.72 × 4,219.36
  4. Step 4: Simplify right side
    7,203.24x = 41,943,476.34
  5. Step 5: Solve for x
    x = 41,943,476.34/7,203.24
  6. Step 6: Final answer
    x = 5,822.86

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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.