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Finding the Fourth Proportional to 9,876.92, 14,819.52 and 4,327.40

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Solution

The fourth proportional to 9,876.92, 14,819.52 and 4,327.40 is: 6,492.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,876.92 : 14,819.52 = 4,327.40 : x
  2. Step 2: Convert to fraction form
    9,876.92/14,819.52 = 4,327.40/x
  3. Step 3: Cross multiply
    9,876.92x = 14,819.52 × 4,327.40
  4. Step 4: Simplify right side
    9,876.92x = 64,129,990.85
  5. Step 5: Solve for x
    x = 64,129,990.85/9,876.92
  6. Step 6: Final answer
    x = 6,492.91

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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.