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Finding the Fourth Proportional to 6,364.92, 9,541.98 and 3,080.37

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Solution

The fourth proportional to 6,364.92, 9,541.98 and 3,080.37 is: 4,617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.92 : 9,541.98 = 3,080.37 : x
  2. Step 2: Convert to fraction form
    6,364.92/9,541.98 = 3,080.37/x
  3. Step 3: Cross multiply
    6,364.92x = 9,541.98 × 3,080.37
  4. Step 4: Simplify right side
    6,364.92x = 29,392,828.93
  5. Step 5: Solve for x
    x = 29,392,828.93/6,364.92
  6. Step 6: Final answer
    x = 4,617.94

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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.