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Finding the Fourth Proportional to 9,770.94, 14,656.21 and 2,375.44

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Solution

The fourth proportional to 9,770.94, 14,656.21 and 2,375.44 is: 3,563.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.94 : 14,656.21 = 2,375.44 : x
  2. Step 2: Convert to fraction form
    9,770.94/14,656.21 = 2,375.44/x
  3. Step 3: Cross multiply
    9,770.94x = 14,656.21 × 2,375.44
  4. Step 4: Simplify right side
    9,770.94x = 34,814,947.48
  5. Step 5: Solve for x
    x = 34,814,947.48/9,770.94
  6. Step 6: Final answer
    x = 3,563.11

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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.