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Finding the Fourth Proportional to 6,909.37, 9,540.56 and 5,633.46

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Solution

The fourth proportional to 6,909.37, 9,540.56 and 5,633.46 is: 7,778.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.37 : 9,540.56 = 5,633.46 : x
  2. Step 2: Convert to fraction form
    6,909.37/9,540.56 = 5,633.46/x
  3. Step 3: Cross multiply
    6,909.37x = 9,540.56 × 5,633.46
  4. Step 4: Simplify right side
    6,909.37x = 53,746,363.14
  5. Step 5: Solve for x
    x = 53,746,363.14/6,909.37
  6. Step 6: Final answer
    x = 7,778.76

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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.