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Finding the Fourth Proportional to 7,238.96, 9,991.33 and 4,407.25

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Solution

The fourth proportional to 7,238.96, 9,991.33 and 4,407.25 is: 6,082.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,238.96 : 9,991.33 = 4,407.25 : x
  2. Step 2: Convert to fraction form
    7,238.96/9,991.33 = 4,407.25/x
  3. Step 3: Cross multiply
    7,238.96x = 9,991.33 × 4,407.25
  4. Step 4: Simplify right side
    7,238.96x = 44,034,289.14
  5. Step 5: Solve for x
    x = 44,034,289.14/7,238.96
  6. Step 6: Final answer
    x = 6,082.96

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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.