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Finding the Fourth Proportional to 9,770.90, 14,656.37 and 2,375.37

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Solution

The fourth proportional to 9,770.90, 14,656.37 and 2,375.37 is: 3,563.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.90 : 14,656.37 = 2,375.37 : x
  2. Step 2: Convert to fraction form
    9,770.90/14,656.37 = 2,375.37/x
  3. Step 3: Cross multiply
    9,770.90x = 14,656.37 × 2,375.37
  4. Step 4: Simplify right side
    9,770.90x = 34,814,301.61
  5. Step 5: Solve for x
    x = 34,814,301.61/9,770.90
  6. Step 6: Final answer
    x = 3,563.06

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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.