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Finding the Fourth Proportional to 9,519.83, 14,280.67 and 3,279

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Solution

The fourth proportional to 9,519.83, 14,280.67 and 3,279 is: 4,918.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,519.83 : 14,280.67 = 3,279 : x
  2. Step 2: Convert to fraction form
    9,519.83/14,280.67 = 3,279/x
  3. Step 3: Cross multiply
    9,519.83x = 14,280.67 × 3,279
  4. Step 4: Simplify right side
    9,519.83x = 46,826,316.93
  5. Step 5: Solve for x
    x = 46,826,316.93/9,519.83
  6. Step 6: Final answer
    x = 4,918.82

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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.