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Finding the Fourth Proportional to 6,105.36, 9,203.80 and 5,698.49

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Solution

The fourth proportional to 6,105.36, 9,203.80 and 5,698.49 is: 8,590.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.36 : 9,203.80 = 5,698.49 : x
  2. Step 2: Convert to fraction form
    6,105.36/9,203.80 = 5,698.49/x
  3. Step 3: Cross multiply
    6,105.36x = 9,203.80 × 5,698.49
  4. Step 4: Simplify right side
    6,105.36x = 52,447,712.68
  5. Step 5: Solve for x
    x = 52,447,712.68/6,105.36
  6. Step 6: Final answer
    x = 8,590.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.