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Finding the Fourth Proportional to 6,335.42, 8,741.13 and 4,097.39

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Solution

The fourth proportional to 6,335.42, 8,741.13 and 4,097.39 is: 5,653.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.42 : 8,741.13 = 4,097.39 : x
  2. Step 2: Convert to fraction form
    6,335.42/8,741.13 = 4,097.39/x
  3. Step 3: Cross multiply
    6,335.42x = 8,741.13 × 4,097.39
  4. Step 4: Simplify right side
    6,335.42x = 35,815,818.65
  5. Step 5: Solve for x
    x = 35,815,818.65/6,335.42
  6. Step 6: Final answer
    x = 5,653.27

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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.