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Finding the Fourth Proportional to 6,324.83, 9,479.54 and 4,476.47

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Solution

The fourth proportional to 6,324.83, 9,479.54 and 4,476.47 is: 6,709.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,324.83 : 9,479.54 = 4,476.47 : x
  2. Step 2: Convert to fraction form
    6,324.83/9,479.54 = 4,476.47/x
  3. Step 3: Cross multiply
    6,324.83x = 9,479.54 × 4,476.47
  4. Step 4: Simplify right side
    6,324.83x = 42,434,911.31
  5. Step 5: Solve for x
    x = 42,434,911.31/6,324.83
  6. Step 6: Final answer
    x = 6,709.26

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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.