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Finding the Fourth Proportional to 6,926.51, 9,558.64 and 3,942.57

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Solution

The fourth proportional to 6,926.51, 9,558.64 and 3,942.57 is: 5,440.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,926.51 : 9,558.64 = 3,942.57 : x
  2. Step 2: Convert to fraction form
    6,926.51/9,558.64 = 3,942.57/x
  3. Step 3: Cross multiply
    6,926.51x = 9,558.64 × 3,942.57
  4. Step 4: Simplify right side
    6,926.51x = 37,685,607.30
  5. Step 5: Solve for x
    x = 37,685,607.30/6,926.51
  6. Step 6: Final answer
    x = 5,440.78

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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.