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Finding the Fourth Proportional to 6,295.31, 9,443.31 and 2,078.39

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Solution

The fourth proportional to 6,295.31, 9,443.31 and 2,078.39 is: 3,117.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,295.31 : 9,443.31 = 2,078.39 : x
  2. Step 2: Convert to fraction form
    6,295.31/9,443.31 = 2,078.39/x
  3. Step 3: Cross multiply
    6,295.31x = 9,443.31 × 2,078.39
  4. Step 4: Simplify right side
    6,295.31x = 19,626,881.07
  5. Step 5: Solve for x
    x = 19,626,881.07/6,295.31
  6. Step 6: Final answer
    x = 3,117.70

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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.