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Finding the Fourth Proportional to 6,909.23, 9,534.72 and 3,765.42

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Solution

The fourth proportional to 6,909.23, 9,534.72 and 3,765.42 is: 5,196.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.23 : 9,534.72 = 3,765.42 : x
  2. Step 2: Convert to fraction form
    6,909.23/9,534.72 = 3,765.42/x
  3. Step 3: Cross multiply
    6,909.23x = 9,534.72 × 3,765.42
  4. Step 4: Simplify right side
    6,909.23x = 35,902,225.38
  5. Step 5: Solve for x
    x = 35,902,225.38/6,909.23
  6. Step 6: Final answer
    x = 5,196.27

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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.