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Finding the Fourth Proportional to 9,914.13, 14,866.49 and 5,755.42

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Solution

The fourth proportional to 9,914.13, 14,866.49 and 5,755.42 is: 8,630.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,914.13 : 14,866.49 = 5,755.42 : x
  2. Step 2: Convert to fraction form
    9,914.13/14,866.49 = 5,755.42/x
  3. Step 3: Cross multiply
    9,914.13x = 14,866.49 × 5,755.42
  4. Step 4: Simplify right side
    9,914.13x = 85,562,894.47
  5. Step 5: Solve for x
    x = 85,562,894.47/9,914.13
  6. Step 6: Final answer
    x = 8,630.40

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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.