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Finding the Fourth Proportional to 7,221.24, 9,965.37 and 4,237.14

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Solution

The fourth proportional to 7,221.24, 9,965.37 and 4,237.14 is: 5,847.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,221.24 : 9,965.37 = 4,237.14 : x
  2. Step 2: Convert to fraction form
    7,221.24/9,965.37 = 4,237.14/x
  3. Step 3: Cross multiply
    7,221.24x = 9,965.37 × 4,237.14
  4. Step 4: Simplify right side
    7,221.24x = 42,224,667.84
  5. Step 5: Solve for x
    x = 42,224,667.84/7,221.24
  6. Step 6: Final answer
    x = 5,847.29

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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.