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Finding the Fourth Proportional to 6,326.44, 9,491.69 and 3,039.77

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Solution

The fourth proportional to 6,326.44, 9,491.69 and 3,039.77 is: 4,560.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,326.44 : 9,491.69 = 3,039.77 : x
  2. Step 2: Convert to fraction form
    6,326.44/9,491.69 = 3,039.77/x
  3. Step 3: Cross multiply
    6,326.44x = 9,491.69 × 3,039.77
  4. Step 4: Simplify right side
    6,326.44x = 28,852,539.31
  5. Step 5: Solve for x
    x = 28,852,539.31/6,326.44
  6. Step 6: Final answer
    x = 4,560.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.