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Finding the Fourth Proportional to 7,042.93, 9,719.39 and 3,856.36

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Solution

The fourth proportional to 7,042.93, 9,719.39 and 3,856.36 is: 5,321.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,042.93 : 9,719.39 = 3,856.36 : x
  2. Step 2: Convert to fraction form
    7,042.93/9,719.39 = 3,856.36/x
  3. Step 3: Cross multiply
    7,042.93x = 9,719.39 × 3,856.36
  4. Step 4: Simplify right side
    7,042.93x = 37,481,466.82
  5. Step 5: Solve for x
    x = 37,481,466.82/7,042.93
  6. Step 6: Final answer
    x = 5,321.86

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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.