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Finding the Fourth Proportional to 9,202.04, 13,819.41 and 7,539.31

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Solution

The fourth proportional to 9,202.04, 13,819.41 and 7,539.31 is: 11,322.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,202.04 : 13,819.41 = 7,539.31 : x
  2. Step 2: Convert to fraction form
    9,202.04/13,819.41 = 7,539.31/x
  3. Step 3: Cross multiply
    9,202.04x = 13,819.41 × 7,539.31
  4. Step 4: Simplify right side
    9,202.04x = 104,188,833.28
  5. Step 5: Solve for x
    x = 104,188,833.28/9,202.04
  6. Step 6: Final answer
    x = 11,322.36

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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.