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Finding the Fourth Proportional to 9,219.42, 12,722.94 and 5,027.67

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Solution

The fourth proportional to 9,219.42, 12,722.94 and 5,027.67 is: 6,938.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,219.42 : 12,722.94 = 5,027.67 : x
  2. Step 2: Convert to fraction form
    9,219.42/12,722.94 = 5,027.67/x
  3. Step 3: Cross multiply
    9,219.42x = 12,722.94 × 5,027.67
  4. Step 4: Simplify right side
    9,219.42x = 63,966,743.75
  5. Step 5: Solve for x
    x = 63,966,743.75/9,219.42
  6. Step 6: Final answer
    x = 6,938.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.