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Finding the Fourth Proportional to 6,109.46, 9,166.78 and 4,137.31

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Solution

The fourth proportional to 6,109.46, 9,166.78 and 4,137.31 is: 6,207.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.46 : 9,166.78 = 4,137.31 : x
  2. Step 2: Convert to fraction form
    6,109.46/9,166.78 = 4,137.31/x
  3. Step 3: Cross multiply
    6,109.46x = 9,166.78 × 4,137.31
  4. Step 4: Simplify right side
    6,109.46x = 37,925,810.56
  5. Step 5: Solve for x
    x = 37,925,810.56/6,109.46
  6. Step 6: Final answer
    x = 6,207.72

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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.