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Finding the Fourth Proportional to 9,493.42, 14,248.88 and 4,816.71

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Solution

The fourth proportional to 9,493.42, 14,248.88 and 4,816.71 is: 7,229.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.42 : 14,248.88 = 4,816.71 : x
  2. Step 2: Convert to fraction form
    9,493.42/14,248.88 = 4,816.71/x
  3. Step 3: Cross multiply
    9,493.42x = 14,248.88 × 4,816.71
  4. Step 4: Simplify right side
    9,493.42x = 68,632,722.78
  5. Step 5: Solve for x
    x = 68,632,722.78/9,493.42
  6. Step 6: Final answer
    x = 7,229.50

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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.