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Finding the Fourth Proportional to 6,091.80, 9,137.70 and 5,107.65

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Solution

The fourth proportional to 6,091.80, 9,137.70 and 5,107.65 is: 7,661.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,091.80 : 9,137.70 = 5,107.65 : x
  2. Step 2: Convert to fraction form
    6,091.80/9,137.70 = 5,107.65/x
  3. Step 3: Cross multiply
    6,091.80x = 9,137.70 × 5,107.65
  4. Step 4: Simplify right side
    6,091.80x = 46,672,173.41
  5. Step 5: Solve for x
    x = 46,672,173.41/6,091.80
  6. Step 6: Final answer
    x = 7,661.48

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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.