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Finding the Fourth Proportional to 6,909.65, 9,535.32 and 3,765.83

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Solution

The fourth proportional to 6,909.65, 9,535.32 and 3,765.83 is: 5,196.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.65 : 9,535.32 = 3,765.83 : x
  2. Step 2: Convert to fraction form
    6,909.65/9,535.32 = 3,765.83/x
  3. Step 3: Cross multiply
    6,909.65x = 9,535.32 × 3,765.83
  4. Step 4: Simplify right side
    6,909.65x = 35,908,346.44
  5. Step 5: Solve for x
    x = 35,908,346.44/6,909.65
  6. Step 6: Final answer
    x = 5,196.84

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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.