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Finding the Fourth Proportional to 9,894.78, 14,847.96 and 3,659.18

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Solution

The fourth proportional to 9,894.78, 14,847.96 and 3,659.18 is: 5,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.78 : 14,847.96 = 3,659.18 : x
  2. Step 2: Convert to fraction form
    9,894.78/14,847.96 = 3,659.18/x
  3. Step 3: Cross multiply
    9,894.78x = 14,847.96 × 3,659.18
  4. Step 4: Simplify right side
    9,894.78x = 54,331,358.27
  5. Step 5: Solve for x
    x = 54,331,358.27/9,894.78
  6. Step 6: Final answer
    x = 5,490.91

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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.