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Finding the Fourth Proportional to 6,230.97, 9,346.41 and 2,071.29

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Solution

The fourth proportional to 6,230.97, 9,346.41 and 2,071.29 is: 3,106.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,230.97 : 9,346.41 = 2,071.29 : x
  2. Step 2: Convert to fraction form
    6,230.97/9,346.41 = 2,071.29/x
  3. Step 3: Cross multiply
    6,230.97x = 9,346.41 × 2,071.29
  4. Step 4: Simplify right side
    6,230.97x = 19,359,125.57
  5. Step 5: Solve for x
    x = 19,359,125.57/6,230.97
  6. Step 6: Final answer
    x = 3,106.92

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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.