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Finding the Fourth Proportional to 6,999.80, 9,660.16 and 3,856

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Solution

The fourth proportional to 6,999.80, 9,660.16 and 3,856 is: 5,321.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,999.80 : 9,660.16 = 3,856 : x
  2. Step 2: Convert to fraction form
    6,999.80/9,660.16 = 3,856/x
  3. Step 3: Cross multiply
    6,999.80x = 9,660.16 × 3,856
  4. Step 4: Simplify right side
    6,999.80x = 37,249,576.96
  5. Step 5: Solve for x
    x = 37,249,576.96/6,999.80
  6. Step 6: Final answer
    x = 5,321.52

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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.