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Finding the Fourth Proportional to 9,770.99, 14,656.11 and 2,845.31

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Solution

The fourth proportional to 9,770.99, 14,656.11 and 2,845.31 is: 4,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.99 : 14,656.11 = 2,845.31 : x
  2. Step 2: Convert to fraction form
    9,770.99/14,656.11 = 2,845.31/x
  3. Step 3: Cross multiply
    9,770.99x = 14,656.11 × 2,845.31
  4. Step 4: Simplify right side
    9,770.99x = 41,701,103.06
  5. Step 5: Solve for x
    x = 41,701,103.06/9,770.99
  6. Step 6: Final answer
    x = 4,267.85

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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.