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Finding the Fourth Proportional to 9,691.89, 14,539.31 and 4,145.25

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Solution

The fourth proportional to 9,691.89, 14,539.31 and 4,145.25 is: 6,218.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,691.89 : 14,539.31 = 4,145.25 : x
  2. Step 2: Convert to fraction form
    9,691.89/14,539.31 = 4,145.25/x
  3. Step 3: Cross multiply
    9,691.89x = 14,539.31 × 4,145.25
  4. Step 4: Simplify right side
    9,691.89x = 60,269,054.05
  5. Step 5: Solve for x
    x = 60,269,054.05/9,691.89
  6. Step 6: Final answer
    x = 6,218.50

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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.