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Finding the Fourth Proportional to 9,894.20, 14,842.20 and 4,049.60

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Solution

The fourth proportional to 9,894.20, 14,842.20 and 4,049.60 is: 6,074.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.20 : 14,842.20 = 4,049.60 : x
  2. Step 2: Convert to fraction form
    9,894.20/14,842.20 = 4,049.60/x
  3. Step 3: Cross multiply
    9,894.20x = 14,842.20 × 4,049.60
  4. Step 4: Simplify right side
    9,894.20x = 60,104,973.12
  5. Step 5: Solve for x
    x = 60,104,973.12/9,894.20
  6. Step 6: Final answer
    x = 6,074.77

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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.