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Finding the Fourth Proportional to 6,942.59, 9,580.97 and 3,798.77

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Solution

The fourth proportional to 6,942.59, 9,580.97 and 3,798.77 is: 5,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.59 : 9,580.97 = 3,798.77 : x
  2. Step 2: Convert to fraction form
    6,942.59/9,580.97 = 3,798.77/x
  3. Step 3: Cross multiply
    6,942.59x = 9,580.97 × 3,798.77
  4. Step 4: Simplify right side
    6,942.59x = 36,395,934.86
  5. Step 5: Solve for x
    x = 36,395,934.86/6,942.59
  6. Step 6: Final answer
    x = 5,242.42

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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.