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Finding the Fourth Proportional to 6,775.17, 9,348.84 and 3,790.68

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Solution

The fourth proportional to 6,775.17, 9,348.84 and 3,790.68 is: 5,230.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.17 : 9,348.84 = 3,790.68 : x
  2. Step 2: Convert to fraction form
    6,775.17/9,348.84 = 3,790.68/x
  3. Step 3: Cross multiply
    6,775.17x = 9,348.84 × 3,790.68
  4. Step 4: Simplify right side
    6,775.17x = 35,438,460.81
  5. Step 5: Solve for x
    x = 35,438,460.81/6,775.17
  6. Step 6: Final answer
    x = 5,230.64

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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.