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Finding the Fourth Proportional to 9,818.63, 14,717.24 and 4,824.44

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Solution

The fourth proportional to 9,818.63, 14,717.24 and 4,824.44 is: 7,231.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,818.63 : 14,717.24 = 4,824.44 : x
  2. Step 2: Convert to fraction form
    9,818.63/14,717.24 = 4,824.44/x
  3. Step 3: Cross multiply
    9,818.63x = 14,717.24 × 4,824.44
  4. Step 4: Simplify right side
    9,818.63x = 71,002,441.35
  5. Step 5: Solve for x
    x = 71,002,441.35/9,818.63
  6. Step 6: Final answer
    x = 7,231.40

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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.