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Finding the Fourth Proportional to 6,738.36, 9,308.01 and 6,109.59

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Solution

The fourth proportional to 6,738.36, 9,308.01 and 6,109.59 is: 8,439.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,738.36 : 9,308.01 = 6,109.59 : x
  2. Step 2: Convert to fraction form
    6,738.36/9,308.01 = 6,109.59/x
  3. Step 3: Cross multiply
    6,738.36x = 9,308.01 × 6,109.59
  4. Step 4: Simplify right side
    6,738.36x = 56,868,124.82
  5. Step 5: Solve for x
    x = 56,868,124.82/6,738.36
  6. Step 6: Final answer
    x = 8,439.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.