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Finding the Fourth Proportional to 9,212.80, 13,808.40 and 6,901.60

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Solution

The fourth proportional to 9,212.80, 13,808.40 and 6,901.60 is: 10,344.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.80 : 13,808.40 = 6,901.60 : x
  2. Step 2: Convert to fraction form
    9,212.80/13,808.40 = 6,901.60/x
  3. Step 3: Cross multiply
    9,212.80x = 13,808.40 × 6,901.60
  4. Step 4: Simplify right side
    9,212.80x = 95,300,053.44
  5. Step 5: Solve for x
    x = 95,300,053.44/9,212.80
  6. Step 6: Final answer
    x = 10,344.31

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.