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Finding the Fourth Proportional to 9,894.33, 14,842.22 and 3,317.85

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Solution

The fourth proportional to 9,894.33, 14,842.22 and 3,317.85 is: 4,977.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.33 : 14,842.22 = 3,317.85 : x
  2. Step 2: Convert to fraction form
    9,894.33/14,842.22 = 3,317.85/x
  3. Step 3: Cross multiply
    9,894.33x = 14,842.22 × 3,317.85
  4. Step 4: Simplify right side
    9,894.33x = 49,244,243.04
  5. Step 5: Solve for x
    x = 49,244,243.04/9,894.33
  6. Step 6: Final answer
    x = 4,977.02

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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.