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Finding the Fourth Proportional to 6,750.81, 9,315.41 and 3,766.77

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Solution

The fourth proportional to 6,750.81, 9,315.41 and 3,766.77 is: 5,197.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,750.81 : 9,315.41 = 3,766.77 : x
  2. Step 2: Convert to fraction form
    6,750.81/9,315.41 = 3,766.77/x
  3. Step 3: Cross multiply
    6,750.81x = 9,315.41 × 3,766.77
  4. Step 4: Simplify right side
    6,750.81x = 35,088,988.09
  5. Step 5: Solve for x
    x = 35,088,988.09/6,750.81
  6. Step 6: Final answer
    x = 5,197.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.