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Finding the Fourth Proportional to 6,511.44, 8,989.64 and 4,277.22

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Solution

The fourth proportional to 6,511.44, 8,989.64 and 4,277.22 is: 5,905.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,511.44 : 8,989.64 = 4,277.22 : x
  2. Step 2: Convert to fraction form
    6,511.44/8,989.64 = 4,277.22/x
  3. Step 3: Cross multiply
    6,511.44x = 8,989.64 × 4,277.22
  4. Step 4: Simplify right side
    6,511.44x = 38,450,668.00
  5. Step 5: Solve for x
    x = 38,450,668.00/6,511.44
  6. Step 6: Final answer
    x = 5,905.09

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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.