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Finding the Fourth Proportional to 6,775.30, 9,349.62 and 3,790.57

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Solution

The fourth proportional to 6,775.30, 9,349.62 and 3,790.57 is: 5,230.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.30 : 9,349.62 = 3,790.57 : x
  2. Step 2: Convert to fraction form
    6,775.30/9,349.62 = 3,790.57/x
  3. Step 3: Cross multiply
    6,775.30x = 9,349.62 × 3,790.57
  4. Step 4: Simplify right side
    6,775.30x = 35,440,389.08
  5. Step 5: Solve for x
    x = 35,440,389.08/6,775.30
  6. Step 6: Final answer
    x = 5,230.82

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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.