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Finding the Fourth Proportional to 6,647.31, 9,954.75 and 6,472.35

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Solution

The fourth proportional to 6,647.31, 9,954.75 and 6,472.35 is: 9,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,647.31 : 9,954.75 = 6,472.35 : x
  2. Step 2: Convert to fraction form
    6,647.31/9,954.75 = 6,472.35/x
  3. Step 3: Cross multiply
    6,647.31x = 9,954.75 × 6,472.35
  4. Step 4: Simplify right side
    6,647.31x = 64,430,626.16
  5. Step 5: Solve for x
    x = 64,430,626.16/6,647.31
  6. Step 6: Final answer
    x = 9,692.74

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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.