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Finding the Fourth Proportional to 6,437.83, 9,650.11 and 3,658.56

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Solution

The fourth proportional to 6,437.83, 9,650.11 and 3,658.56 is: 5,484.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,437.83 : 9,650.11 = 3,658.56 : x
  2. Step 2: Convert to fraction form
    6,437.83/9,650.11 = 3,658.56/x
  3. Step 3: Cross multiply
    6,437.83x = 9,650.11 × 3,658.56
  4. Step 4: Simplify right side
    6,437.83x = 35,305,506.44
  5. Step 5: Solve for x
    x = 35,305,506.44/6,437.83
  6. Step 6: Final answer
    x = 5,484.07

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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.