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Finding the Fourth Proportional to 6,760.86, 9,330.30 and 3,776.64

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Solution

The fourth proportional to 6,760.86, 9,330.30 and 3,776.64 is: 5,211.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,760.86 : 9,330.30 = 3,776.64 : x
  2. Step 2: Convert to fraction form
    6,760.86/9,330.30 = 3,776.64/x
  3. Step 3: Cross multiply
    6,760.86x = 9,330.30 × 3,776.64
  4. Step 4: Simplify right side
    6,760.86x = 35,237,184.19
  5. Step 5: Solve for x
    x = 35,237,184.19/6,760.86
  6. Step 6: Final answer
    x = 5,211.94

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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.