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Finding the Fourth Proportional to 9,157.98, 13,724.80 and 3,308.96

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Solution

The fourth proportional to 9,157.98, 13,724.80 and 3,308.96 is: 4,959.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.98 : 13,724.80 = 3,308.96 : x
  2. Step 2: Convert to fraction form
    9,157.98/13,724.80 = 3,308.96/x
  3. Step 3: Cross multiply
    9,157.98x = 13,724.80 × 3,308.96
  4. Step 4: Simplify right side
    9,157.98x = 45,414,814.21
  5. Step 5: Solve for x
    x = 45,414,814.21/9,157.98
  6. Step 6: Final answer
    x = 4,959.04

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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.