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Finding the Fourth Proportional to 6,233.58, 9,346.86 and 2,071.36

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Solution

The fourth proportional to 6,233.58, 9,346.86 and 2,071.36 is: 3,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.58 : 9,346.86 = 2,071.36 : x
  2. Step 2: Convert to fraction form
    6,233.58/9,346.86 = 2,071.36/x
  3. Step 3: Cross multiply
    6,233.58x = 9,346.86 × 2,071.36
  4. Step 4: Simplify right side
    6,233.58x = 19,360,711.93
  5. Step 5: Solve for x
    x = 19,360,711.93/6,233.58
  6. Step 6: Final answer
    x = 3,105.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.