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Finding the Fourth Proportional to 6,428.87, 9,636.71 and 3,137.91

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Solution

The fourth proportional to 6,428.87, 9,636.71 and 3,137.91 is: 4,703.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.87 : 9,636.71 = 3,137.91 : x
  2. Step 2: Convert to fraction form
    6,428.87/9,636.71 = 3,137.91/x
  3. Step 3: Cross multiply
    6,428.87x = 9,636.71 × 3,137.91
  4. Step 4: Simplify right side
    6,428.87x = 30,239,128.68
  5. Step 5: Solve for x
    x = 30,239,128.68/6,428.87
  6. Step 6: Final answer
    x = 4,703.65

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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.