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Finding the Fourth Proportional to 9,616.87, 14,425.20 and 3,043.06

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Solution

The fourth proportional to 9,616.87, 14,425.20 and 3,043.06 is: 4,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.87 : 14,425.20 = 3,043.06 : x
  2. Step 2: Convert to fraction form
    9,616.87/14,425.20 = 3,043.06/x
  3. Step 3: Cross multiply
    9,616.87x = 14,425.20 × 3,043.06
  4. Step 4: Simplify right side
    9,616.87x = 43,896,749.11
  5. Step 5: Solve for x
    x = 43,896,749.11/9,616.87
  6. Step 6: Final answer
    x = 4,564.56

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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.