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Finding the Fourth Proportional to 6,077.16, 9,099.97 and 5,205.26

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Solution

The fourth proportional to 6,077.16, 9,099.97 and 5,205.26 is: 7,794.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,077.16 : 9,099.97 = 5,205.26 : x
  2. Step 2: Convert to fraction form
    6,077.16/9,099.97 = 5,205.26/x
  3. Step 3: Cross multiply
    6,077.16x = 9,099.97 × 5,205.26
  4. Step 4: Simplify right side
    6,077.16x = 47,367,719.58
  5. Step 5: Solve for x
    x = 47,367,719.58/6,077.16
  6. Step 6: Final answer
    x = 7,794.38

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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.