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Finding the Fourth Proportional to 9,292.23, 12,822.78 and 5,713.11

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Solution

The fourth proportional to 9,292.23, 12,822.78 and 5,713.11 is: 7,883.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,292.23 : 12,822.78 = 5,713.11 : x
  2. Step 2: Convert to fraction form
    9,292.23/12,822.78 = 5,713.11/x
  3. Step 3: Cross multiply
    9,292.23x = 12,822.78 × 5,713.11
  4. Step 4: Simplify right side
    9,292.23x = 73,257,952.65
  5. Step 5: Solve for x
    x = 73,257,952.65/9,292.23
  6. Step 6: Final answer
    x = 7,883.79

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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.