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Finding the Fourth Proportional to 6,217.74, 9,320.74 and 3,094.79

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Solution

The fourth proportional to 6,217.74, 9,320.74 and 3,094.79 is: 4,639.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,217.74 : 9,320.74 = 3,094.79 : x
  2. Step 2: Convert to fraction form
    6,217.74/9,320.74 = 3,094.79/x
  3. Step 3: Cross multiply
    6,217.74x = 9,320.74 × 3,094.79
  4. Step 4: Simplify right side
    6,217.74x = 28,845,736.81
  5. Step 5: Solve for x
    x = 28,845,736.81/6,217.74
  6. Step 6: Final answer
    x = 4,639.27

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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.