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Finding the Fourth Proportional to 9,016.70, 13,512.90 and 3,464.96

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Solution

The fourth proportional to 9,016.70, 13,512.90 and 3,464.96 is: 5,192.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,016.70 : 13,512.90 = 3,464.96 : x
  2. Step 2: Convert to fraction form
    9,016.70/13,512.90 = 3,464.96/x
  3. Step 3: Cross multiply
    9,016.70x = 13,512.90 × 3,464.96
  4. Step 4: Simplify right side
    9,016.70x = 46,821,657.98
  5. Step 5: Solve for x
    x = 46,821,657.98/9,016.70
  6. Step 6: Final answer
    x = 5,192.77

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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.