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Finding the Fourth Proportional to 6,177.96, 9,266.40 and 2,282.40

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Solution

The fourth proportional to 6,177.96, 9,266.40 and 2,282.40 is: 3,423.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.96 : 9,266.40 = 2,282.40 : x
  2. Step 2: Convert to fraction form
    6,177.96/9,266.40 = 2,282.40/x
  3. Step 3: Cross multiply
    6,177.96x = 9,266.40 × 2,282.40
  4. Step 4: Simplify right side
    6,177.96x = 21,149,631.36
  5. Step 5: Solve for x
    x = 21,149,631.36/6,177.96
  6. Step 6: Final answer
    x = 3,423.40

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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.