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Finding the Fourth Proportional to 6,109.38, 8,430.95 and 3,314.88

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Solution

The fourth proportional to 6,109.38, 8,430.95 and 3,314.88 is: 4,574.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.38 : 8,430.95 = 3,314.88 : x
  2. Step 2: Convert to fraction form
    6,109.38/8,430.95 = 3,314.88/x
  3. Step 3: Cross multiply
    6,109.38x = 8,430.95 × 3,314.88
  4. Step 4: Simplify right side
    6,109.38x = 27,947,587.54
  5. Step 5: Solve for x
    x = 27,947,587.54/6,109.38
  6. Step 6: Final answer
    x = 4,574.54

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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.