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Finding the Fourth Proportional to 9,770.69, 14,655.84 and 2,375.19

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Solution

The fourth proportional to 9,770.69, 14,655.84 and 2,375.19 is: 3,562.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.69 : 14,655.84 = 2,375.19 : x
  2. Step 2: Convert to fraction form
    9,770.69/14,655.84 = 2,375.19/x
  3. Step 3: Cross multiply
    9,770.69x = 14,655.84 × 2,375.19
  4. Step 4: Simplify right side
    9,770.69x = 34,810,395.70
  5. Step 5: Solve for x
    x = 34,810,395.70/9,770.69
  6. Step 6: Final answer
    x = 3,562.74

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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.