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Finding the Fourth Proportional to 9,894.96, 14,843.43 and 3,656.61

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Solution

The fourth proportional to 9,894.96, 14,843.43 and 3,656.61 is: 5,485.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.96 : 14,843.43 = 3,656.61 : x
  2. Step 2: Convert to fraction form
    9,894.96/14,843.43 = 3,656.61/x
  3. Step 3: Cross multiply
    9,894.96x = 14,843.43 × 3,656.61
  4. Step 4: Simplify right side
    9,894.96x = 54,276,634.57
  5. Step 5: Solve for x
    x = 54,276,634.57/9,894.96
  6. Step 6: Final answer
    x = 5,485.28

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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.