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Finding the Fourth Proportional to 9,354.32, 12,910.56 and 5,819.12

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Solution

The fourth proportional to 9,354.32, 12,910.56 and 5,819.12 is: 8,031.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.32 : 12,910.56 = 5,819.12 : x
  2. Step 2: Convert to fraction form
    9,354.32/12,910.56 = 5,819.12/x
  3. Step 3: Cross multiply
    9,354.32x = 12,910.56 × 5,819.12
  4. Step 4: Simplify right side
    9,354.32x = 75,128,097.91
  5. Step 5: Solve for x
    x = 75,128,097.91/9,354.32
  6. Step 6: Final answer
    x = 8,031.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.