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Finding the Fourth Proportional to 6,334.02, 9,500.49 and 1,717.02

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Solution

The fourth proportional to 6,334.02, 9,500.49 and 1,717.02 is: 2,575.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.02 : 9,500.49 = 1,717.02 : x
  2. Step 2: Convert to fraction form
    6,334.02/9,500.49 = 1,717.02/x
  3. Step 3: Cross multiply
    6,334.02x = 9,500.49 × 1,717.02
  4. Step 4: Simplify right side
    6,334.02x = 16,312,531.34
  5. Step 5: Solve for x
    x = 16,312,531.34/6,334.02
  6. Step 6: Final answer
    x = 2,575.38

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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.