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Finding the Fourth Proportional to 6,641.02, 9,164.09 and 3,808.36

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Solution

The fourth proportional to 6,641.02, 9,164.09 and 3,808.36 is: 5,255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,641.02 : 9,164.09 = 3,808.36 : x
  2. Step 2: Convert to fraction form
    6,641.02/9,164.09 = 3,808.36/x
  3. Step 3: Cross multiply
    6,641.02x = 9,164.09 × 3,808.36
  4. Step 4: Simplify right side
    6,641.02x = 34,900,153.79
  5. Step 5: Solve for x
    x = 34,900,153.79/6,641.02
  6. Step 6: Final answer
    x = 5,255.24

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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.