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Finding the Fourth Proportional to 9,284.57, 12,812.77 and 5,092.82

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Solution

The fourth proportional to 9,284.57, 12,812.77 and 5,092.82 is: 7,028.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,284.57 : 12,812.77 = 5,092.82 : x
  2. Step 2: Convert to fraction form
    9,284.57/12,812.77 = 5,092.82/x
  3. Step 3: Cross multiply
    9,284.57x = 12,812.77 × 5,092.82
  4. Step 4: Simplify right side
    9,284.57x = 65,253,041.78
  5. Step 5: Solve for x
    x = 65,253,041.78/9,284.57
  6. Step 6: Final answer
    x = 7,028.12

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.