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Finding the Fourth Proportional to 9,616.43, 14,423.42 and 3,043.28

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Solution

The fourth proportional to 9,616.43, 14,423.42 and 3,043.28 is: 4,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.43 : 14,423.42 = 3,043.28 : x
  2. Step 2: Convert to fraction form
    9,616.43/14,423.42 = 3,043.28/x
  3. Step 3: Cross multiply
    9,616.43x = 14,423.42 × 3,043.28
  4. Step 4: Simplify right side
    9,616.43x = 43,894,418.28
  5. Step 5: Solve for x
    x = 43,894,418.28/9,616.43
  6. Step 6: Final answer
    x = 4,564.53

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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.