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Finding the Fourth Proportional to 6,137.28, 9,204.71 and 2,389.07

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Solution

The fourth proportional to 6,137.28, 9,204.71 and 2,389.07 is: 3,583.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.28 : 9,204.71 = 2,389.07 : x
  2. Step 2: Convert to fraction form
    6,137.28/9,204.71 = 2,389.07/x
  3. Step 3: Cross multiply
    6,137.28x = 9,204.71 × 2,389.07
  4. Step 4: Simplify right side
    6,137.28x = 21,990,650.50
  5. Step 5: Solve for x
    x = 21,990,650.50/6,137.28
  6. Step 6: Final answer
    x = 3,583.13

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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.