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Finding the Fourth Proportional to 6,424.01, 9,637.95 and 3,049.39

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Solution

The fourth proportional to 6,424.01, 9,637.95 and 3,049.39 is: 4,575.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,424.01 : 9,637.95 = 3,049.39 : x
  2. Step 2: Convert to fraction form
    6,424.01/9,637.95 = 3,049.39/x
  3. Step 3: Cross multiply
    6,424.01x = 9,637.95 × 3,049.39
  4. Step 4: Simplify right side
    6,424.01x = 29,389,868.35
  5. Step 5: Solve for x
    x = 29,389,868.35/6,424.01
  6. Step 6: Final answer
    x = 4,575.00

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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.