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Finding the Fourth Proportional to 6,520.68, 9,785.47 and 3,601.03

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Solution

The fourth proportional to 6,520.68, 9,785.47 and 3,601.03 is: 5,404.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.68 : 9,785.47 = 3,601.03 : x
  2. Step 2: Convert to fraction form
    6,520.68/9,785.47 = 3,601.03/x
  3. Step 3: Cross multiply
    6,520.68x = 9,785.47 × 3,601.03
  4. Step 4: Simplify right side
    6,520.68x = 35,237,771.03
  5. Step 5: Solve for x
    x = 35,237,771.03/6,520.68
  6. Step 6: Final answer
    x = 5,404.00

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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.