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Finding the Fourth Proportional to 9,614.22, 14,420.78 and 2,950.70

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Solution

The fourth proportional to 9,614.22, 14,420.78 and 2,950.70 is: 4,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,614.22 : 14,420.78 = 2,950.70 : x
  2. Step 2: Convert to fraction form
    9,614.22/14,420.78 = 2,950.70/x
  3. Step 3: Cross multiply
    9,614.22x = 14,420.78 × 2,950.70
  4. Step 4: Simplify right side
    9,614.22x = 42,551,395.55
  5. Step 5: Solve for x
    x = 42,551,395.55/9,614.22
  6. Step 6: Final answer
    x = 4,425.88

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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.