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Finding the Fourth Proportional to 9,422.50, 14,133.78 and 3,266.50

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Solution

The fourth proportional to 9,422.50, 14,133.78 and 3,266.50 is: 4,899.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,422.50 : 14,133.78 = 3,266.50 : x
  2. Step 2: Convert to fraction form
    9,422.50/14,133.78 = 3,266.50/x
  3. Step 3: Cross multiply
    9,422.50x = 14,133.78 × 3,266.50
  4. Step 4: Simplify right side
    9,422.50x = 46,167,992.37
  5. Step 5: Solve for x
    x = 46,167,992.37/9,422.50
  6. Step 6: Final answer
    x = 4,899.76

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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.