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Finding the Fourth Proportional to 6,938.63, 9,579.01 and 4,673.22

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Solution

The fourth proportional to 6,938.63, 9,579.01 and 4,673.22 is: 6,451.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,938.63 : 9,579.01 = 4,673.22 : x
  2. Step 2: Convert to fraction form
    6,938.63/9,579.01 = 4,673.22/x
  3. Step 3: Cross multiply
    6,938.63x = 9,579.01 × 4,673.22
  4. Step 4: Simplify right side
    6,938.63x = 44,764,821.11
  5. Step 5: Solve for x
    x = 44,764,821.11/6,938.63
  6. Step 6: Final answer
    x = 6,451.54

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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.