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Finding the Fourth Proportional to 6,292.14, 9,438.39 and 2,829.39

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Solution

The fourth proportional to 6,292.14, 9,438.39 and 2,829.39 is: 4,244.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,292.14 : 9,438.39 = 2,829.39 : x
  2. Step 2: Convert to fraction form
    6,292.14/9,438.39 = 2,829.39/x
  3. Step 3: Cross multiply
    6,292.14x = 9,438.39 × 2,829.39
  4. Step 4: Simplify right side
    6,292.14x = 26,704,886.28
  5. Step 5: Solve for x
    x = 26,704,886.28/6,292.14
  6. Step 6: Final answer
    x = 4,244.17

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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.