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Finding the Fourth Proportional to 6,099.64, 9,159.89 and 3,773.39

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Solution

The fourth proportional to 6,099.64, 9,159.89 and 3,773.39 is: 5,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.64 : 9,159.89 = 3,773.39 : x
  2. Step 2: Convert to fraction form
    6,099.64/9,159.89 = 3,773.39/x
  3. Step 3: Cross multiply
    6,099.64x = 9,159.89 × 3,773.39
  4. Step 4: Simplify right side
    6,099.64x = 34,563,772.66
  5. Step 5: Solve for x
    x = 34,563,772.66/6,099.64
  6. Step 6: Final answer
    x = 5,666.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.