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Finding the Fourth Proportional to 6,426.89, 9,629.33 and 3,507.24

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Solution

The fourth proportional to 6,426.89, 9,629.33 and 3,507.24 is: 5,254.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,426.89 : 9,629.33 = 3,507.24 : x
  2. Step 2: Convert to fraction form
    6,426.89/9,629.33 = 3,507.24/x
  3. Step 3: Cross multiply
    6,426.89x = 9,629.33 × 3,507.24
  4. Step 4: Simplify right side
    6,426.89x = 33,772,353.81
  5. Step 5: Solve for x
    x = 33,772,353.81/6,426.89
  6. Step 6: Final answer
    x = 5,254.86

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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.