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Finding the Fourth Proportional to 6,274.09, 9,412.71 and 4,428.81

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Solution

The fourth proportional to 6,274.09, 9,412.71 and 4,428.81 is: 6,644.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.09 : 9,412.71 = 4,428.81 : x
  2. Step 2: Convert to fraction form
    6,274.09/9,412.71 = 4,428.81/x
  3. Step 3: Cross multiply
    6,274.09x = 9,412.71 × 4,428.81
  4. Step 4: Simplify right side
    6,274.09x = 41,687,104.18
  5. Step 5: Solve for x
    x = 41,687,104.18/6,274.09
  6. Step 6: Final answer
    x = 6,644.33

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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.