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Finding the Fourth Proportional to 6,046.86, 9,070.63 and 2,151.27

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Solution

The fourth proportional to 6,046.86, 9,070.63 and 2,151.27 is: 3,227.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,046.86 : 9,070.63 = 2,151.27 : x
  2. Step 2: Convert to fraction form
    6,046.86/9,070.63 = 2,151.27/x
  3. Step 3: Cross multiply
    6,046.86x = 9,070.63 × 2,151.27
  4. Step 4: Simplify right side
    6,046.86x = 19,513,342.87
  5. Step 5: Solve for x
    x = 19,513,342.87/6,046.86
  6. Step 6: Final answer
    x = 3,227.02

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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.