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Finding the Fourth Proportional to 6,909.21, 9,534.69 and 3,765.38

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Solution

The fourth proportional to 6,909.21, 9,534.69 and 3,765.38 is: 5,196.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.21 : 9,534.69 = 3,765.38 : x
  2. Step 2: Convert to fraction form
    6,909.21/9,534.69 = 3,765.38/x
  3. Step 3: Cross multiply
    6,909.21x = 9,534.69 × 3,765.38
  4. Step 4: Simplify right side
    6,909.21x = 35,901,683.36
  5. Step 5: Solve for x
    x = 35,901,683.36/6,909.21
  6. Step 6: Final answer
    x = 5,196.21

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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.