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Finding the Fourth Proportional to 9,251.50, 13,907.32 and 7,422.62

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Solution

The fourth proportional to 9,251.50, 13,907.32 and 7,422.62 is: 11,158.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,251.50 : 13,907.32 = 7,422.62 : x
  2. Step 2: Convert to fraction form
    9,251.50/13,907.32 = 7,422.62/x
  3. Step 3: Cross multiply
    9,251.50x = 13,907.32 × 7,422.62
  4. Step 4: Simplify right side
    9,251.50x = 103,228,751.58
  5. Step 5: Solve for x
    x = 103,228,751.58/9,251.50
  6. Step 6: Final answer
    x = 11,158.06

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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.