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Finding the Fourth Proportional to 6,731.94, 9,287.01 and 4,078.38

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Solution

The fourth proportional to 6,731.94, 9,287.01 and 4,078.38 is: 5,626.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,731.94 : 9,287.01 = 4,078.38 : x
  2. Step 2: Convert to fraction form
    6,731.94/9,287.01 = 4,078.38/x
  3. Step 3: Cross multiply
    6,731.94x = 9,287.01 × 4,078.38
  4. Step 4: Simplify right side
    6,731.94x = 37,875,955.84
  5. Step 5: Solve for x
    x = 37,875,955.84/6,731.94
  6. Step 6: Final answer
    x = 5,626.31

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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.