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Finding the Fourth Proportional to 6,361.64, 9,579.80 and 5,549.60

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Solution

The fourth proportional to 6,361.64, 9,579.80 and 5,549.60 is: 8,356.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.64 : 9,579.80 = 5,549.60 : x
  2. Step 2: Convert to fraction form
    6,361.64/9,579.80 = 5,549.60/x
  3. Step 3: Cross multiply
    6,361.64x = 9,579.80 × 5,549.60
  4. Step 4: Simplify right side
    6,361.64x = 53,164,058.08
  5. Step 5: Solve for x
    x = 53,164,058.08/6,361.64
  6. Step 6: Final answer
    x = 8,356.97

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.