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Finding the Fourth Proportional to 6,775.42, 9,349.18 and 3,790.93

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Solution

The fourth proportional to 6,775.42, 9,349.18 and 3,790.93 is: 5,230.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.42 : 9,349.18 = 3,790.93 : x
  2. Step 2: Convert to fraction form
    6,775.42/9,349.18 = 3,790.93/x
  3. Step 3: Cross multiply
    6,775.42x = 9,349.18 × 3,790.93
  4. Step 4: Simplify right side
    6,775.42x = 35,442,086.94
  5. Step 5: Solve for x
    x = 35,442,086.94/6,775.42
  6. Step 6: Final answer
    x = 5,230.98

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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.