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Finding the Fourth Proportional to 7,174.23, 9,900.12 and 4,190.34

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Solution

The fourth proportional to 7,174.23, 9,900.12 and 4,190.34 is: 5,782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.23 : 9,900.12 = 4,190.34 : x
  2. Step 2: Convert to fraction form
    7,174.23/9,900.12 = 4,190.34/x
  3. Step 3: Cross multiply
    7,174.23x = 9,900.12 × 4,190.34
  4. Step 4: Simplify right side
    7,174.23x = 41,484,868.84
  5. Step 5: Solve for x
    x = 41,484,868.84/7,174.23
  6. Step 6: Final answer
    x = 5,782.48

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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.