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Finding the Fourth Proportional to 6,913.55, 9,540.70 and 3,769.74

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Solution

The fourth proportional to 6,913.55, 9,540.70 and 3,769.74 is: 5,202.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,913.55 : 9,540.70 = 3,769.74 : x
  2. Step 2: Convert to fraction form
    6,913.55/9,540.70 = 3,769.74/x
  3. Step 3: Cross multiply
    6,913.55x = 9,540.70 × 3,769.74
  4. Step 4: Simplify right side
    6,913.55x = 35,965,925.14
  5. Step 5: Solve for x
    x = 35,965,925.14/6,913.55
  6. Step 6: Final answer
    x = 5,202.24

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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.