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Finding the Fourth Proportional to 6,207.94, 9,316.01 and 2,921.97

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Solution

The fourth proportional to 6,207.94, 9,316.01 and 2,921.97 is: 4,384.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,207.94 : 9,316.01 = 2,921.97 : x
  2. Step 2: Convert to fraction form
    6,207.94/9,316.01 = 2,921.97/x
  3. Step 3: Cross multiply
    6,207.94x = 9,316.01 × 2,921.97
  4. Step 4: Simplify right side
    6,207.94x = 27,221,094.43
  5. Step 5: Solve for x
    x = 27,221,094.43/6,207.94
  6. Step 6: Final answer
    x = 4,384.89

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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.