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Finding the Fourth Proportional to 6,767.63, 9,339.33 and 3,742.76

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Solution

The fourth proportional to 6,767.63, 9,339.33 and 3,742.76 is: 5,165.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.63 : 9,339.33 = 3,742.76 : x
  2. Step 2: Convert to fraction form
    6,767.63/9,339.33 = 3,742.76/x
  3. Step 3: Cross multiply
    6,767.63x = 9,339.33 × 3,742.76
  4. Step 4: Simplify right side
    6,767.63x = 34,954,824.05
  5. Step 5: Solve for x
    x = 34,954,824.05/6,767.63
  6. Step 6: Final answer
    x = 5,165.01

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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.