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Finding the Fourth Proportional to 6,514.76, 9,776.24 and 3,228.04

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Solution

The fourth proportional to 6,514.76, 9,776.24 and 3,228.04 is: 4,844.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,514.76 : 9,776.24 = 3,228.04 : x
  2. Step 2: Convert to fraction form
    6,514.76/9,776.24 = 3,228.04/x
  3. Step 3: Cross multiply
    6,514.76x = 9,776.24 × 3,228.04
  4. Step 4: Simplify right side
    6,514.76x = 31,558,093.77
  5. Step 5: Solve for x
    x = 31,558,093.77/6,514.76
  6. Step 6: Final answer
    x = 4,844.09

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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.