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Finding the Fourth Proportional to 6,712.31, 9,262.97 and 4,059.71

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Solution

The fourth proportional to 6,712.31, 9,262.97 and 4,059.71 is: 5,602.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,712.31 : 9,262.97 = 4,059.71 : x
  2. Step 2: Convert to fraction form
    6,712.31/9,262.97 = 4,059.71/x
  3. Step 3: Cross multiply
    6,712.31x = 9,262.97 × 4,059.71
  4. Step 4: Simplify right side
    6,712.31x = 37,604,971.94
  5. Step 5: Solve for x
    x = 37,604,971.94/6,712.31
  6. Step 6: Final answer
    x = 5,602.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.