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Finding the Fourth Proportional to 6,644.01, 9,906.44 and 6,403.90

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Solution

The fourth proportional to 6,644.01, 9,906.44 and 6,403.90 is: 9,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.01 : 9,906.44 = 6,403.90 : x
  2. Step 2: Convert to fraction form
    6,644.01/9,906.44 = 6,403.90/x
  3. Step 3: Cross multiply
    6,644.01x = 9,906.44 × 6,403.90
  4. Step 4: Simplify right side
    6,644.01x = 63,439,851.12
  5. Step 5: Solve for x
    x = 63,439,851.12/6,644.01
  6. Step 6: Final answer
    x = 9,548.43

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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.