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Finding the Fourth Proportional to 9,330.96, 13,997.25 and 3,409.47

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Solution

The fourth proportional to 9,330.96, 13,997.25 and 3,409.47 is: 5,114.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.96 : 13,997.25 = 3,409.47 : x
  2. Step 2: Convert to fraction form
    9,330.96/13,997.25 = 3,409.47/x
  3. Step 3: Cross multiply
    9,330.96x = 13,997.25 × 3,409.47
  4. Step 4: Simplify right side
    9,330.96x = 47,723,203.96
  5. Step 5: Solve for x
    x = 47,723,203.96/9,330.96
  6. Step 6: Final answer
    x = 5,114.50

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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.