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Finding the Fourth Proportional to 9,230.31, 13,829.72 and 5,073.80

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Solution

The fourth proportional to 9,230.31, 13,829.72 and 5,073.80 is: 7,602.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,230.31 : 13,829.72 = 5,073.80 : x
  2. Step 2: Convert to fraction form
    9,230.31/13,829.72 = 5,073.80/x
  3. Step 3: Cross multiply
    9,230.31x = 13,829.72 × 5,073.80
  4. Step 4: Simplify right side
    9,230.31x = 70,169,138.82
  5. Step 5: Solve for x
    x = 70,169,138.82/9,230.31
  6. Step 6: Final answer
    x = 7,602.03

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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.