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Finding the Fourth Proportional to 6,909.41, 9,535.11 and 3,765.60

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Solution

The fourth proportional to 6,909.41, 9,535.11 and 3,765.60 is: 5,196.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.41 : 9,535.11 = 3,765.60 : x
  2. Step 2: Convert to fraction form
    6,909.41/9,535.11 = 3,765.60/x
  3. Step 3: Cross multiply
    6,909.41x = 9,535.11 × 3,765.60
  4. Step 4: Simplify right side
    6,909.41x = 35,905,410.22
  5. Step 5: Solve for x
    x = 35,905,410.22/6,909.41
  6. Step 6: Final answer
    x = 5,196.60

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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.