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Finding the Fourth Proportional to 9,811.79, 14,715.62 and 3,236.43

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Solution

The fourth proportional to 9,811.79, 14,715.62 and 3,236.43 is: 4,853.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.79 : 14,715.62 = 3,236.43 : x
  2. Step 2: Convert to fraction form
    9,811.79/14,715.62 = 3,236.43/x
  3. Step 3: Cross multiply
    9,811.79x = 14,715.62 × 3,236.43
  4. Step 4: Simplify right side
    9,811.79x = 47,626,074.04
  5. Step 5: Solve for x
    x = 47,626,074.04/9,811.79
  6. Step 6: Final answer
    x = 4,853.96

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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.