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Finding the Fourth Proportional to 6,403.28, 9,607.80 and 3,480.56

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Solution

The fourth proportional to 6,403.28, 9,607.80 and 3,480.56 is: 5,222.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.28 : 9,607.80 = 3,480.56 : x
  2. Step 2: Convert to fraction form
    6,403.28/9,607.80 = 3,480.56/x
  3. Step 3: Cross multiply
    6,403.28x = 9,607.80 × 3,480.56
  4. Step 4: Simplify right side
    6,403.28x = 33,440,524.37
  5. Step 5: Solve for x
    x = 33,440,524.37/6,403.28
  6. Step 6: Final answer
    x = 5,222.41

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.