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Finding the Fourth Proportional to 6,113.66, 9,171.86 and 3,302.43

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Solution

The fourth proportional to 6,113.66, 9,171.86 and 3,302.43 is: 4,954.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.66 : 9,171.86 = 3,302.43 : x
  2. Step 2: Convert to fraction form
    6,113.66/9,171.86 = 3,302.43/x
  3. Step 3: Cross multiply
    6,113.66x = 9,171.86 × 3,302.43
  4. Step 4: Simplify right side
    6,113.66x = 30,289,409.11
  5. Step 5: Solve for x
    x = 30,289,409.11/6,113.66
  6. Step 6: Final answer
    x = 4,954.39

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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.