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Finding the Fourth Proportional to 6,108.47, 8,429.69 and 3,313.97

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Solution

The fourth proportional to 6,108.47, 8,429.69 and 3,313.97 is: 4,573.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,108.47 : 8,429.69 = 3,313.97 : x
  2. Step 2: Convert to fraction form
    6,108.47/8,429.69 = 3,313.97/x
  3. Step 3: Cross multiply
    6,108.47x = 8,429.69 × 3,313.97
  4. Step 4: Simplify right side
    6,108.47x = 27,935,718.88
  5. Step 5: Solve for x
    x = 27,935,718.88/6,108.47
  6. Step 6: Final answer
    x = 4,573.28

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