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Finding the Fourth Proportional to 6,334.93, 9,502.40 and 1,717.93

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Solution

The fourth proportional to 6,334.93, 9,502.40 and 1,717.93 is: 2,576.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.93 : 9,502.40 = 1,717.93 : x
  2. Step 2: Convert to fraction form
    6,334.93/9,502.40 = 1,717.93/x
  3. Step 3: Cross multiply
    6,334.93x = 9,502.40 × 1,717.93
  4. Step 4: Simplify right side
    6,334.93x = 16,324,458.03
  5. Step 5: Solve for x
    x = 16,324,458.03/6,334.93
  6. Step 6: Final answer
    x = 2,576.90

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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.