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Finding the Fourth Proportional to 6,648.89, 9,175.41 and 3,816.32

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Solution

The fourth proportional to 6,648.89, 9,175.41 and 3,816.32 is: 5,266.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,648.89 : 9,175.41 = 3,816.32 : x
  2. Step 2: Convert to fraction form
    6,648.89/9,175.41 = 3,816.32/x
  3. Step 3: Cross multiply
    6,648.89x = 9,175.41 × 3,816.32
  4. Step 4: Simplify right side
    6,648.89x = 35,016,254.81
  5. Step 5: Solve for x
    x = 35,016,254.81/6,648.89
  6. Step 6: Final answer
    x = 5,266.49

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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.