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Finding the Fourth Proportional to 6,073.52, 9,106.96 and 4,099.12

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Solution

The fourth proportional to 6,073.52, 9,106.96 and 4,099.12 is: 6,146.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,073.52 : 9,106.96 = 4,099.12 : x
  2. Step 2: Convert to fraction form
    6,073.52/9,106.96 = 4,099.12/x
  3. Step 3: Cross multiply
    6,073.52x = 9,106.96 × 4,099.12
  4. Step 4: Simplify right side
    6,073.52x = 37,330,521.88
  5. Step 5: Solve for x
    x = 37,330,521.88/6,073.52
  6. Step 6: Final answer
    x = 6,146.44

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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.