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Finding the Fourth Proportional to 6,976.17, 9,623.61 and 4,142.31

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Solution

The fourth proportional to 6,976.17, 9,623.61 and 4,142.31 is: 5,714.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.17 : 9,623.61 = 4,142.31 : x
  2. Step 2: Convert to fraction form
    6,976.17/9,623.61 = 4,142.31/x
  3. Step 3: Cross multiply
    6,976.17x = 9,623.61 × 4,142.31
  4. Step 4: Simplify right side
    6,976.17x = 39,863,975.94
  5. Step 5: Solve for x
    x = 39,863,975.94/6,976.17
  6. Step 6: Final answer
    x = 5,714.31

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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.