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Finding the Fourth Proportional to 29,009.52, 43,509.96 and 9,286.02

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Solution

The fourth proportional to 29,009.52, 43,509.96 and 9,286.02 is: 13,927.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,009.52 : 43,509.96 = 9,286.02 : x
  2. Step 2: Convert to fraction form
    29,009.52/43,509.96 = 9,286.02/x
  3. Step 3: Cross multiply
    29,009.52x = 43,509.96 × 9,286.02
  4. Step 4: Simplify right side
    29,009.52x = 404,034,358.76
  5. Step 5: Solve for x
    x = 404,034,358.76/29,009.52
  6. Step 6: Final answer
    x = 13,927.65

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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.