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Finding the Fourth Proportional to 6,232.82, 9,347.19 and 2,071.70

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Solution

The fourth proportional to 6,232.82, 9,347.19 and 2,071.70 is: 3,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.82 : 9,347.19 = 2,071.70 : x
  2. Step 2: Convert to fraction form
    6,232.82/9,347.19 = 2,071.70/x
  3. Step 3: Cross multiply
    6,232.82x = 9,347.19 × 2,071.70
  4. Step 4: Simplify right side
    6,232.82x = 19,364,573.52
  5. Step 5: Solve for x
    x = 19,364,573.52/6,232.82
  6. Step 6: Final answer
    x = 3,106.87

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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.