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Finding the Fourth Proportional to 9,770.11, 14,655.05 and 2,374.56

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Solution

The fourth proportional to 9,770.11, 14,655.05 and 2,374.56 is: 3,561.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,770.11 : 14,655.05 = 2,374.56 : x
  2. Step 2: Convert to fraction form
    9,770.11/14,655.05 = 2,374.56/x
  3. Step 3: Cross multiply
    9,770.11x = 14,655.05 × 2,374.56
  4. Step 4: Simplify right side
    9,770.11x = 34,799,295.53
  5. Step 5: Solve for x
    x = 34,799,295.53/9,770.11
  6. Step 6: Final answer
    x = 3,561.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.