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Finding the Fourth Proportional to 6,097.37, 9,138.74 and 2,586.65

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Solution

The fourth proportional to 6,097.37, 9,138.74 and 2,586.65 is: 3,876.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.37 : 9,138.74 = 2,586.65 : x
  2. Step 2: Convert to fraction form
    6,097.37/9,138.74 = 2,586.65/x
  3. Step 3: Cross multiply
    6,097.37x = 9,138.74 × 2,586.65
  4. Step 4: Simplify right side
    6,097.37x = 23,638,663.19
  5. Step 5: Solve for x
    x = 23,638,663.19/6,097.37
  6. Step 6: Final answer
    x = 3,876.87

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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.