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Finding the Fourth Proportional to 6,775.36, 9,349.70 and 3,942.32

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Solution

The fourth proportional to 6,775.36, 9,349.70 and 3,942.32 is: 5,440.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,775.36 : 9,349.70 = 3,942.32 : x
  2. Step 2: Convert to fraction form
    6,775.36/9,349.70 = 3,942.32/x
  3. Step 3: Cross multiply
    6,775.36x = 9,349.70 × 3,942.32
  4. Step 4: Simplify right side
    6,775.36x = 36,859,509.30
  5. Step 5: Solve for x
    x = 36,859,509.30/6,775.36
  6. Step 6: Final answer
    x = 5,440.23

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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.