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Finding the Fourth Proportional to 6,179.48, 9,262.74 and 2,281.40

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Solution

The fourth proportional to 6,179.48, 9,262.74 and 2,281.40 is: 3,419.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,179.48 : 9,262.74 = 2,281.40 : x
  2. Step 2: Convert to fraction form
    6,179.48/9,262.74 = 2,281.40/x
  3. Step 3: Cross multiply
    6,179.48x = 9,262.74 × 2,281.40
  4. Step 4: Simplify right side
    6,179.48x = 21,132,015.04
  5. Step 5: Solve for x
    x = 21,132,015.04/6,179.48
  6. Step 6: Final answer
    x = 3,419.71

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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.