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Finding the Fourth Proportional to 9,354.87, 12,897.32 and 7,755.48

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Solution

The fourth proportional to 9,354.87, 12,897.32 and 7,755.48 is: 10,692.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.87 : 12,897.32 = 7,755.48 : x
  2. Step 2: Convert to fraction form
    9,354.87/12,897.32 = 7,755.48/x
  3. Step 3: Cross multiply
    9,354.87x = 12,897.32 × 7,755.48
  4. Step 4: Simplify right side
    9,354.87x = 100,024,868.54
  5. Step 5: Solve for x
    x = 100,024,868.54/9,354.87
  6. Step 6: Final answer
    x = 10,692.28

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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.