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Finding the Fourth Proportional to 9,422.06, 14,133.08 and 5,524.34

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Solution

The fourth proportional to 9,422.06, 14,133.08 and 5,524.34 is: 8,286.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.06 : 14,133.08 = 5,524.34 : x
  2. Step 2: Convert to fraction form
    9,422.06/14,133.08 = 5,524.34/x
  3. Step 3: Cross multiply
    9,422.06x = 14,133.08 × 5,524.34
  4. Step 4: Simplify right side
    9,422.06x = 78,075,882.31
  5. Step 5: Solve for x
    x = 78,075,882.31/9,422.06
  6. Step 6: Final answer
    x = 8,286.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.