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Finding the Fourth Proportional to 6,330.86, 9,496.29 and 1,714.22

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Solution

The fourth proportional to 6,330.86, 9,496.29 and 1,714.22 is: 2,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,330.86 : 9,496.29 = 1,714.22 : x
  2. Step 2: Convert to fraction form
    6,330.86/9,496.29 = 1,714.22/x
  3. Step 3: Cross multiply
    6,330.86x = 9,496.29 × 1,714.22
  4. Step 4: Simplify right side
    6,330.86x = 16,278,730.24
  5. Step 5: Solve for x
    x = 16,278,730.24/6,330.86
  6. Step 6: Final answer
    x = 2,571.33

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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.