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Finding the Fourth Proportional to 6,556.69, 9,836.25 and 2,858.23

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Solution

The fourth proportional to 6,556.69, 9,836.25 and 2,858.23 is: 4,287.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,556.69 : 9,836.25 = 2,858.23 : x
  2. Step 2: Convert to fraction form
    6,556.69/9,836.25 = 2,858.23/x
  3. Step 3: Cross multiply
    6,556.69x = 9,836.25 × 2,858.23
  4. Step 4: Simplify right side
    6,556.69x = 28,114,264.84
  5. Step 5: Solve for x
    x = 28,114,264.84/6,556.69
  6. Step 6: Final answer
    x = 4,287.87

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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.