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Finding the Fourth Proportional to 6,648.19, 9,174.40 and 3,663.95

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Solution

The fourth proportional to 6,648.19, 9,174.40 and 3,663.95 is: 5,056.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.19 : 9,174.40 = 3,663.95 : x
  2. Step 2: Convert to fraction form
    6,648.19/9,174.40 = 3,663.95/x
  3. Step 3: Cross multiply
    6,648.19x = 9,174.40 × 3,663.95
  4. Step 4: Simplify right side
    6,648.19x = 33,614,487.85
  5. Step 5: Solve for x
    x = 33,614,487.85/6,648.19
  6. Step 6: Final answer
    x = 5,056.19

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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.