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Finding the Fourth Proportional to 6,556.84, 9,835.23 and 2,661.23

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Solution

The fourth proportional to 6,556.84, 9,835.23 and 2,661.23 is: 3,991.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.84 : 9,835.23 = 2,661.23 : x
  2. Step 2: Convert to fraction form
    6,556.84/9,835.23 = 2,661.23/x
  3. Step 3: Cross multiply
    6,556.84x = 9,835.23 × 2,661.23
  4. Step 4: Simplify right side
    6,556.84x = 26,173,809.13
  5. Step 5: Solve for x
    x = 26,173,809.13/6,556.84
  6. Step 6: Final answer
    x = 3,991.83

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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.