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Finding the Fourth Proportional to 6,361.44, 9,473.12 and 6,197.60

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Solution

The fourth proportional to 6,361.44, 9,473.12 and 6,197.60 is: 9,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.44 : 9,473.12 = 6,197.60 : x
  2. Step 2: Convert to fraction form
    6,361.44/9,473.12 = 6,197.60/x
  3. Step 3: Cross multiply
    6,361.44x = 9,473.12 × 6,197.60
  4. Step 4: Simplify right side
    6,361.44x = 58,710,608.51
  5. Step 5: Solve for x
    x = 58,710,608.51/6,361.44
  6. Step 6: Final answer
    x = 9,229.14

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.