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Finding the Fourth Proportional to 9,770.42, 14,655.41 and 2,374.92

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Solution

The fourth proportional to 9,770.42, 14,655.41 and 2,374.92 is: 3,562.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.42 : 14,655.41 = 2,374.92 : x
  2. Step 2: Convert to fraction form
    9,770.42/14,655.41 = 2,374.92/x
  3. Step 3: Cross multiply
    9,770.42x = 14,655.41 × 2,374.92
  4. Step 4: Simplify right side
    9,770.42x = 34,805,414.44
  5. Step 5: Solve for x
    x = 34,805,414.44/9,770.42
  6. Step 6: Final answer
    x = 3,562.33

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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.