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Finding the Fourth Proportional to 6,137.48, 9,206.24 and 4,070.61

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Solution

The fourth proportional to 6,137.48, 9,206.24 and 4,070.61 is: 6,105.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.48 : 9,206.24 = 4,070.61 : x
  2. Step 2: Convert to fraction form
    6,137.48/9,206.24 = 4,070.61/x
  3. Step 3: Cross multiply
    6,137.48x = 9,206.24 × 4,070.61
  4. Step 4: Simplify right side
    6,137.48x = 37,474,992.25
  5. Step 5: Solve for x
    x = 37,474,992.25/6,137.48
  6. Step 6: Final answer
    x = 6,105.93

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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.