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Finding the Fourth Proportional to 9,013.46, 13,525.86 and 3,819.32

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Solution

The fourth proportional to 9,013.46, 13,525.86 and 3,819.32 is: 5,731.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,013.46 : 13,525.86 = 3,819.32 : x
  2. Step 2: Convert to fraction form
    9,013.46/13,525.86 = 3,819.32/x
  3. Step 3: Cross multiply
    9,013.46x = 13,525.86 × 3,819.32
  4. Step 4: Simplify right side
    9,013.46x = 51,659,587.62
  5. Step 5: Solve for x
    x = 51,659,587.62/9,013.46
  6. Step 6: Final answer
    x = 5,731.38

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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.