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Finding the Fourth Proportional to 6,325.94, 9,490.94 and 3,039.27

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Solution

The fourth proportional to 6,325.94, 9,490.94 and 3,039.27 is: 4,559.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,325.94 : 9,490.94 = 3,039.27 : x
  2. Step 2: Convert to fraction form
    6,325.94/9,490.94 = 3,039.27/x
  3. Step 3: Cross multiply
    6,325.94x = 9,490.94 × 3,039.27
  4. Step 4: Simplify right side
    6,325.94x = 28,845,514.02
  5. Step 5: Solve for x
    x = 28,845,514.02/6,325.94
  6. Step 6: Final answer
    x = 4,559.88

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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.