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Finding the Fourth Proportional to 6,805.35, 9,395.94 and 4,257

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Solution

The fourth proportional to 6,805.35, 9,395.94 and 4,257 is: 5,877.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.35 : 9,395.94 = 4,257 : x
  2. Step 2: Convert to fraction form
    6,805.35/9,395.94 = 4,257/x
  3. Step 3: Cross multiply
    6,805.35x = 9,395.94 × 4,257
  4. Step 4: Simplify right side
    6,805.35x = 39,998,516.58
  5. Step 5: Solve for x
    x = 39,998,516.58/6,805.35
  6. Step 6: Final answer
    x = 5,877.51

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Why These Related Problems?

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