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Finding the Fourth Proportional to 9,894.60, 14,839.50 and 3,319.08

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Solution

The fourth proportional to 9,894.60, 14,839.50 and 3,319.08 is: 4,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.60 : 14,839.50 = 3,319.08 : x
  2. Step 2: Convert to fraction form
    9,894.60/14,839.50 = 3,319.08/x
  3. Step 3: Cross multiply
    9,894.60x = 14,839.50 × 3,319.08
  4. Step 4: Simplify right side
    9,894.60x = 49,253,487.66
  5. Step 5: Solve for x
    x = 49,253,487.66/9,894.60
  6. Step 6: Final answer
    x = 4,977.81

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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.