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Finding the Fourth Proportional to 9,355.25, 12,897.83 and 7,755.86

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Solution

The fourth proportional to 9,355.25, 12,897.83 and 7,755.86 is: 10,692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,355.25 : 12,897.83 = 7,755.86 : x
  2. Step 2: Convert to fraction form
    9,355.25/12,897.83 = 7,755.86/x
  3. Step 3: Cross multiply
    9,355.25x = 12,897.83 × 7,755.86
  4. Step 4: Simplify right side
    9,355.25x = 100,033,718.68
  5. Step 5: Solve for x
    x = 100,033,718.68/9,355.25
  6. Step 6: Final answer
    x = 10,692.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.