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Finding the Fourth Proportional to 6,938.67, 9,575.54 and 3,795.09

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Solution

The fourth proportional to 6,938.67, 9,575.54 and 3,795.09 is: 5,237.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.67 : 9,575.54 = 3,795.09 : x
  2. Step 2: Convert to fraction form
    6,938.67/9,575.54 = 3,795.09/x
  3. Step 3: Cross multiply
    6,938.67x = 9,575.54 × 3,795.09
  4. Step 4: Simplify right side
    6,938.67x = 36,340,036.10
  5. Step 5: Solve for x
    x = 36,340,036.10/6,938.67
  6. Step 6: Final answer
    x = 5,237.32

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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.