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Finding the Fourth Proportional to 6,564.28, 9,843.45 and 1,883.22

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Solution

The fourth proportional to 6,564.28, 9,843.45 and 1,883.22 is: 2,823.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.28 : 9,843.45 = 1,883.22 : x
  2. Step 2: Convert to fraction form
    6,564.28/9,843.45 = 1,883.22/x
  3. Step 3: Cross multiply
    6,564.28x = 9,843.45 × 1,883.22
  4. Step 4: Simplify right side
    6,564.28x = 18,537,431.58
  5. Step 5: Solve for x
    x = 18,537,431.58/6,564.28
  6. Step 6: Final answer
    x = 2,823.99

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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.