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Finding the Fourth Proportional to 6,172.62, 9,262.62 and 2,279.76

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Solution

The fourth proportional to 6,172.62, 9,262.62 and 2,279.76 is: 3,421.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.62 : 9,262.62 = 2,279.76 : x
  2. Step 2: Convert to fraction form
    6,172.62/9,262.62 = 2,279.76/x
  3. Step 3: Cross multiply
    6,172.62x = 9,262.62 × 2,279.76
  4. Step 4: Simplify right side
    6,172.62x = 21,116,550.57
  5. Step 5: Solve for x
    x = 21,116,550.57/6,172.62
  6. Step 6: Final answer
    x = 3,421.00

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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.