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Finding the Fourth Proportional to 9,283.89, 12,811.79 and 5,092.17

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Solution

The fourth proportional to 9,283.89, 12,811.79 and 5,092.17 is: 7,027.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.89 : 12,811.79 = 5,092.17 : x
  2. Step 2: Convert to fraction form
    9,283.89/12,811.79 = 5,092.17/x
  3. Step 3: Cross multiply
    9,283.89x = 12,811.79 × 5,092.17
  4. Step 4: Simplify right side
    9,283.89x = 65,239,787.22
  5. Step 5: Solve for x
    x = 65,239,787.22/9,283.89
  6. Step 6: Final answer
    x = 7,027.20

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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.