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Finding the Fourth Proportional to 6,909.01, 9,534.45 and 3,765.13

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Solution

The fourth proportional to 6,909.01, 9,534.45 and 3,765.13 is: 5,195.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.01 : 9,534.45 = 3,765.13 : x
  2. Step 2: Convert to fraction form
    6,909.01/9,534.45 = 3,765.13/x
  3. Step 3: Cross multiply
    6,909.01x = 9,534.45 × 3,765.13
  4. Step 4: Simplify right side
    6,909.01x = 35,898,443.73
  5. Step 5: Solve for x
    x = 35,898,443.73/6,909.01
  6. Step 6: Final answer
    x = 5,195.89

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