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Finding the Fourth Proportional to 9,292.82, 12,822.42 and 5,259.62

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Solution

The fourth proportional to 9,292.82, 12,822.42 and 5,259.62 is: 7,257.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.82 : 12,822.42 = 5,259.62 : x
  2. Step 2: Convert to fraction form
    9,292.82/12,822.42 = 5,259.62/x
  3. Step 3: Cross multiply
    9,292.82x = 12,822.42 × 5,259.62
  4. Step 4: Simplify right side
    9,292.82x = 67,441,056.68
  5. Step 5: Solve for x
    x = 67,441,056.68/9,292.82
  6. Step 6: Final answer
    x = 7,257.33

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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.