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Finding the Fourth Proportional to 9,845.00, 14,755.14 and 7,756.77

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Solution

The fourth proportional to 9,845.00, 14,755.14 and 7,756.77 is: 11,625.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,845.00 : 14,755.14 = 7,756.77 : x
  2. Step 2: Convert to fraction form
    9,845.00/14,755.14 = 7,756.77/x
  3. Step 3: Cross multiply
    9,845.00x = 14,755.14 × 7,756.77
  4. Step 4: Simplify right side
    9,845.00x = 114,452,227.30
  5. Step 5: Solve for x
    x = 114,452,227.30/9,845.00
  6. Step 6: Final answer
    x = 11,625.42

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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.