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Finding the Fourth Proportional to 6,629.66, 9,949.01 and 3,509.54

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Solution

The fourth proportional to 6,629.66, 9,949.01 and 3,509.54 is: 5,266.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.66 : 9,949.01 = 3,509.54 : x
  2. Step 2: Convert to fraction form
    6,629.66/9,949.01 = 3,509.54/x
  3. Step 3: Cross multiply
    6,629.66x = 9,949.01 × 3,509.54
  4. Step 4: Simplify right side
    6,629.66x = 34,916,381.26
  5. Step 5: Solve for x
    x = 34,916,381.26/6,629.66
  6. Step 6: Final answer
    x = 5,266.70

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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.