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Finding the Fourth Proportional to 6,137.56, 9,206.34 and 4,684.96

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Solution

The fourth proportional to 6,137.56, 9,206.34 and 4,684.96 is: 7,027.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.56 : 9,206.34 = 4,684.96 : x
  2. Step 2: Convert to fraction form
    6,137.56/9,206.34 = 4,684.96/x
  3. Step 3: Cross multiply
    6,137.56x = 9,206.34 × 4,684.96
  4. Step 4: Simplify right side
    6,137.56x = 43,131,334.65
  5. Step 5: Solve for x
    x = 43,131,334.65/6,137.56
  6. Step 6: Final answer
    x = 7,027.44

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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.