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Finding the Fourth Proportional to 6,938.92, 9,575.85 and 3,795.31

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Solution

The fourth proportional to 6,938.92, 9,575.85 and 3,795.31 is: 5,237.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.92 : 9,575.85 = 3,795.31 : x
  2. Step 2: Convert to fraction form
    6,938.92/9,575.85 = 3,795.31/x
  3. Step 3: Cross multiply
    6,938.92x = 9,575.85 × 3,795.31
  4. Step 4: Simplify right side
    6,938.92x = 36,343,319.26
  5. Step 5: Solve for x
    x = 36,343,319.26/6,938.92
  6. Step 6: Final answer
    x = 5,237.60

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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.