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Finding the Fourth Proportional to 9,894.06, 14,847.06 and 5,217.53

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Solution

The fourth proportional to 9,894.06, 14,847.06 and 5,217.53 is: 7,829.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.06 : 14,847.06 = 5,217.53 : x
  2. Step 2: Convert to fraction form
    9,894.06/14,847.06 = 5,217.53/x
  3. Step 3: Cross multiply
    9,894.06x = 14,847.06 × 5,217.53
  4. Step 4: Simplify right side
    9,894.06x = 77,464,906.73
  5. Step 5: Solve for x
    x = 77,464,906.73/9,894.06
  6. Step 6: Final answer
    x = 7,829.44

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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.