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Finding the Fourth Proportional to 6,388.69, 9,564.49 and 3,916.03

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Solution

The fourth proportional to 6,388.69, 9,564.49 and 3,916.03 is: 5,862.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.69 : 9,564.49 = 3,916.03 : x
  2. Step 2: Convert to fraction form
    6,388.69/9,564.49 = 3,916.03/x
  3. Step 3: Cross multiply
    6,388.69x = 9,564.49 × 3,916.03
  4. Step 4: Simplify right side
    6,388.69x = 37,454,829.77
  5. Step 5: Solve for x
    x = 37,454,829.77/6,388.69
  6. Step 6: Final answer
    x = 5,862.68

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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.