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Finding the Fourth Proportional to 6,618.28, 9,134.28 and 3,825.40

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Solution

The fourth proportional to 6,618.28, 9,134.28 and 3,825.40 is: 5,279.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,618.28 : 9,134.28 = 3,825.40 : x
  2. Step 2: Convert to fraction form
    6,618.28/9,134.28 = 3,825.40/x
  3. Step 3: Cross multiply
    6,618.28x = 9,134.28 × 3,825.40
  4. Step 4: Simplify right side
    6,618.28x = 34,942,274.71
  5. Step 5: Solve for x
    x = 34,942,274.71/6,618.28
  6. Step 6: Final answer
    x = 5,279.66

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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.