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Finding the Fourth Proportional to 6,097.58, 9,139.89 and 2,586.86

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Solution

The fourth proportional to 6,097.58, 9,139.89 and 2,586.86 is: 3,877.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.58 : 9,139.89 = 2,586.86 : x
  2. Step 2: Convert to fraction form
    6,097.58/9,139.89 = 2,586.86/x
  3. Step 3: Cross multiply
    6,097.58x = 9,139.89 × 2,586.86
  4. Step 4: Simplify right side
    6,097.58x = 23,643,615.85
  5. Step 5: Solve for x
    x = 23,643,615.85/6,097.58
  6. Step 6: Final answer
    x = 3,877.54

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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.