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Finding the Fourth Proportional to 6,634.41, 9,953.66 and 3,714.78

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Solution

The fourth proportional to 6,634.41, 9,953.66 and 3,714.78 is: 5,573.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.41 : 9,953.66 = 3,714.78 : x
  2. Step 2: Convert to fraction form
    6,634.41/9,953.66 = 3,714.78/x
  3. Step 3: Cross multiply
    6,634.41x = 9,953.66 × 3,714.78
  4. Step 4: Simplify right side
    6,634.41x = 36,975,638.52
  5. Step 5: Solve for x
    x = 36,975,638.52/6,634.41
  6. Step 6: Final answer
    x = 5,573.31

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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.