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Finding the Fourth Proportional to 9,950.97, 14,894.00 and 7,317.77

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Solution

The fourth proportional to 9,950.97, 14,894.00 and 7,317.77 is: 10,952.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.97 : 14,894.00 = 7,317.77 : x
  2. Step 2: Convert to fraction form
    9,950.97/14,894.00 = 7,317.77/x
  3. Step 3: Cross multiply
    9,950.97x = 14,894.00 × 7,317.77
  4. Step 4: Simplify right side
    9,950.97x = 108,990,755.32
  5. Step 5: Solve for x
    x = 108,990,755.32/9,950.97
  6. Step 6: Final answer
    x = 10,952.78

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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.