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Finding the Fourth Proportional to 6,466.87, 9,701.24 and 3,347.22

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Solution

The fourth proportional to 6,466.87, 9,701.24 and 3,347.22 is: 5,021.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,466.87 : 9,701.24 = 3,347.22 : x
  2. Step 2: Convert to fraction form
    6,466.87/9,701.24 = 3,347.22/x
  3. Step 3: Cross multiply
    6,466.87x = 9,701.24 × 3,347.22
  4. Step 4: Simplify right side
    6,466.87x = 32,472,204.20
  5. Step 5: Solve for x
    x = 32,472,204.20/6,466.87
  6. Step 6: Final answer
    x = 5,021.32

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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.