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Finding the Fourth Proportional to 6,648.21, 9,174.74 and 3,816.10

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Solution

The fourth proportional to 6,648.21, 9,174.74 and 3,816.10 is: 5,266.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.21 : 9,174.74 = 3,816.10 : x
  2. Step 2: Convert to fraction form
    6,648.21/9,174.74 = 3,816.10/x
  3. Step 3: Cross multiply
    6,648.21x = 9,174.74 × 3,816.10
  4. Step 4: Simplify right side
    6,648.21x = 35,011,725.31
  5. Step 5: Solve for x
    x = 35,011,725.31/6,648.21
  6. Step 6: Final answer
    x = 5,266.34

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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.