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Finding the Fourth Proportional to 7,107.09, 9,796.02 and 6,511.49

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Solution

The fourth proportional to 7,107.09, 9,796.02 and 6,511.49 is: 8,975.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.09 : 9,796.02 = 6,511.49 : x
  2. Step 2: Convert to fraction form
    7,107.09/9,796.02 = 6,511.49/x
  3. Step 3: Cross multiply
    7,107.09x = 9,796.02 × 6,511.49
  4. Step 4: Simplify right side
    7,107.09x = 63,786,637.29
  5. Step 5: Solve for x
    x = 63,786,637.29/7,107.09
  6. Step 6: Final answer
    x = 8,975.08

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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.