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Finding the Fourth Proportional to 9,617.45, 14,428.20 and 3,044.30

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Solution

The fourth proportional to 9,617.45, 14,428.20 and 3,044.30 is: 4,567.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,617.45 : 14,428.20 = 3,044.30 : x
  2. Step 2: Convert to fraction form
    9,617.45/14,428.20 = 3,044.30/x
  3. Step 3: Cross multiply
    9,617.45x = 14,428.20 × 3,044.30
  4. Step 4: Simplify right side
    9,617.45x = 43,923,769.26
  5. Step 5: Solve for x
    x = 43,923,769.26/9,617.45
  6. Step 6: Final answer
    x = 4,567.09

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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.