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Finding the Fourth Proportional to 6,714.08, 9,262.32 and 4,194.56

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Solution

The fourth proportional to 6,714.08, 9,262.32 and 4,194.56 is: 5,786.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,714.08 : 9,262.32 = 4,194.56 : x
  2. Step 2: Convert to fraction form
    6,714.08/9,262.32 = 4,194.56/x
  3. Step 3: Cross multiply
    6,714.08x = 9,262.32 × 4,194.56
  4. Step 4: Simplify right side
    6,714.08x = 38,851,356.98
  5. Step 5: Solve for x
    x = 38,851,356.98/6,714.08
  6. Step 6: Final answer
    x = 5,786.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.