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Finding the Fourth Proportional to 6,092.15, 9,130.86 and 2,967.47

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Solution

The fourth proportional to 6,092.15, 9,130.86 and 2,967.47 is: 4,447.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,092.15 : 9,130.86 = 2,967.47 : x
  2. Step 2: Convert to fraction form
    6,092.15/9,130.86 = 2,967.47/x
  3. Step 3: Cross multiply
    6,092.15x = 9,130.86 × 2,967.47
  4. Step 4: Simplify right side
    6,092.15x = 27,095,553.12
  5. Step 5: Solve for x
    x = 27,095,553.12/6,092.15
  6. Step 6: Final answer
    x = 4,447.62

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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.