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Finding the Fourth Proportional to 6,628.04, 9,145.68 and 3,833

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Solution

The fourth proportional to 6,628.04, 9,145.68 and 3,833 is: 5,288.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,628.04 : 9,145.68 = 3,833 : x
  2. Step 2: Convert to fraction form
    6,628.04/9,145.68 = 3,833/x
  3. Step 3: Cross multiply
    6,628.04x = 9,145.68 × 3,833
  4. Step 4: Simplify right side
    6,628.04x = 35,055,391.44
  5. Step 5: Solve for x
    x = 35,055,391.44/6,628.04
  6. Step 6: Final answer
    x = 5,288.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.