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Finding the Fourth Proportional to 9,224, 12,729.39 and 5,032.52

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Solution

The fourth proportional to 9,224, 12,729.39 and 5,032.52 is: 6,945.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,224 : 12,729.39 = 5,032.52 : x
  2. Step 2: Convert to fraction form
    9,224/12,729.39 = 5,032.52/x
  3. Step 3: Cross multiply
    9,224x = 12,729.39 × 5,032.52
  4. Step 4: Simplify right side
    9,224x = 64,060,909.76
  5. Step 5: Solve for x
    x = 64,060,909.76/9,224
  6. Step 6: Final answer
    x = 6,945.02

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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.