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Finding the Fourth Proportional to 7,220.57, 9,964.64 and 4,350.14

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Solution

The fourth proportional to 7,220.57, 9,964.64 and 4,350.14 is: 6,003.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,220.57 : 9,964.64 = 4,350.14 : x
  2. Step 2: Convert to fraction form
    7,220.57/9,964.64 = 4,350.14/x
  3. Step 3: Cross multiply
    7,220.57x = 9,964.64 × 4,350.14
  4. Step 4: Simplify right side
    7,220.57x = 43,347,540.10
  5. Step 5: Solve for x
    x = 43,347,540.10/7,220.57
  6. Step 6: Final answer
    x = 6,003.34

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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.