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Finding the Fourth Proportional to 7,226.14, 9,976.38 and 4,575.82

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Solution

The fourth proportional to 7,226.14, 9,976.38 and 4,575.82 is: 6,317.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,226.14 : 9,976.38 = 4,575.82 : x
  2. Step 2: Convert to fraction form
    7,226.14/9,976.38 = 4,575.82/x
  3. Step 3: Cross multiply
    7,226.14x = 9,976.38 × 4,575.82
  4. Step 4: Simplify right side
    7,226.14x = 45,650,119.13
  5. Step 5: Solve for x
    x = 45,650,119.13/7,226.14
  6. Step 6: Final answer
    x = 6,317.36

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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.