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Finding the Fourth Proportional to 6,097.35, 9,145.57 and 2,201.76

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Solution

The fourth proportional to 6,097.35, 9,145.57 and 2,201.76 is: 3,302.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.35 : 9,145.57 = 2,201.76 : x
  2. Step 2: Convert to fraction form
    6,097.35/9,145.57 = 2,201.76/x
  3. Step 3: Cross multiply
    6,097.35x = 9,145.57 × 2,201.76
  4. Step 4: Simplify right side
    6,097.35x = 20,136,321.83
  5. Step 5: Solve for x
    x = 20,136,321.83/6,097.35
  6. Step 6: Final answer
    x = 3,302.47

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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.