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Finding the Fourth Proportional to 6,309.39, 9,463.41 and 1,929.90

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Solution

The fourth proportional to 6,309.39, 9,463.41 and 1,929.90 is: 2,894.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.39 : 9,463.41 = 1,929.90 : x
  2. Step 2: Convert to fraction form
    6,309.39/9,463.41 = 1,929.90/x
  3. Step 3: Cross multiply
    6,309.39x = 9,463.41 × 1,929.90
  4. Step 4: Simplify right side
    6,309.39x = 18,263,434.96
  5. Step 5: Solve for x
    x = 18,263,434.96/6,309.39
  6. Step 6: Final answer
    x = 2,894.64

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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.