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Finding the Fourth Proportional to 6,463.77, 9,699.33 and 3,502.20

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Solution

The fourth proportional to 6,463.77, 9,699.33 and 3,502.20 is: 5,255.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,463.77 : 9,699.33 = 3,502.20 : x
  2. Step 2: Convert to fraction form
    6,463.77/9,699.33 = 3,502.20/x
  3. Step 3: Cross multiply
    6,463.77x = 9,699.33 × 3,502.20
  4. Step 4: Simplify right side
    6,463.77x = 33,968,993.53
  5. Step 5: Solve for x
    x = 33,968,993.53/6,463.77
  6. Step 6: Final answer
    x = 5,255.29

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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.