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Finding the Fourth Proportional to 6,853.34, 9,463.39 and 4,339.89

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Solution

The fourth proportional to 6,853.34, 9,463.39 and 4,339.89 is: 5,992.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.34 : 9,463.39 = 4,339.89 : x
  2. Step 2: Convert to fraction form
    6,853.34/9,463.39 = 4,339.89/x
  3. Step 3: Cross multiply
    6,853.34x = 9,463.39 × 4,339.89
  4. Step 4: Simplify right side
    6,853.34x = 41,070,060.78
  5. Step 5: Solve for x
    x = 41,070,060.78/6,853.34
  6. Step 6: Final answer
    x = 5,992.71

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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.