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Finding the Fourth Proportional to 9,014.72, 13,520 and 2,441.42

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Solution

The fourth proportional to 9,014.72, 13,520 and 2,441.42 is: 3,661.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,014.72 : 13,520 = 2,441.42 : x
  2. Step 2: Convert to fraction form
    9,014.72/13,520 = 2,441.42/x
  3. Step 3: Cross multiply
    9,014.72x = 13,520 × 2,441.42
  4. Step 4: Simplify right side
    9,014.72x = 33,007,998.40
  5. Step 5: Solve for x
    x = 33,007,998.40/9,014.72
  6. Step 6: Final answer
    x = 3,661.57

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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.