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Finding the Fourth Proportional to 6,106.36, 9,205.31 and 5,699.49

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Solution

The fourth proportional to 6,106.36, 9,205.31 and 5,699.49 is: 8,591.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.36 : 9,205.31 = 5,699.49 : x
  2. Step 2: Convert to fraction form
    6,106.36/9,205.31 = 5,699.49/x
  3. Step 3: Cross multiply
    6,106.36x = 9,205.31 × 5,699.49
  4. Step 4: Simplify right side
    6,106.36x = 52,465,572.29
  5. Step 5: Solve for x
    x = 52,465,572.29/6,106.36
  6. Step 6: Final answer
    x = 8,591.96

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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.