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Finding the Fourth Proportional to 9,628.36, 14,444.81 and 4,082.03

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Solution

The fourth proportional to 9,628.36, 14,444.81 and 4,082.03 is: 6,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,628.36 : 14,444.81 = 4,082.03 : x
  2. Step 2: Convert to fraction form
    9,628.36/14,444.81 = 4,082.03/x
  3. Step 3: Cross multiply
    9,628.36x = 14,444.81 × 4,082.03
  4. Step 4: Simplify right side
    9,628.36x = 58,964,147.76
  5. Step 5: Solve for x
    x = 58,964,147.76/9,628.36
  6. Step 6: Final answer
    x = 6,124.01

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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.