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Finding the Fourth Proportional to 6,942.16, 9,580.17 and 3,917.08

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Solution

The fourth proportional to 6,942.16, 9,580.17 and 3,917.08 is: 5,405.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.16 : 9,580.17 = 3,917.08 : x
  2. Step 2: Convert to fraction form
    6,942.16/9,580.17 = 3,917.08/x
  3. Step 3: Cross multiply
    6,942.16x = 9,580.17 × 3,917.08
  4. Step 4: Simplify right side
    6,942.16x = 37,526,292.30
  5. Step 5: Solve for x
    x = 37,526,292.30/6,942.16
  6. Step 6: Final answer
    x = 5,405.56

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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.