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Finding the Fourth Proportional to 6,909.54, 9,535.28 and 3,765.72

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Solution

The fourth proportional to 6,909.54, 9,535.28 and 3,765.72 is: 5,196.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.54 : 9,535.28 = 3,765.72 : x
  2. Step 2: Convert to fraction form
    6,909.54/9,535.28 = 3,765.72/x
  3. Step 3: Cross multiply
    6,909.54x = 9,535.28 × 3,765.72
  4. Step 4: Simplify right side
    6,909.54x = 35,907,211.53
  5. Step 5: Solve for x
    x = 35,907,211.53/6,909.54
  6. Step 6: Final answer
    x = 5,196.76

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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.