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Finding the Fourth Proportional to 9,616.40, 13,271.52 and 6,033.92

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Solution

The fourth proportional to 9,616.40, 13,271.52 and 6,033.92 is: 8,327.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,616.40 : 13,271.52 = 6,033.92 : x
  2. Step 2: Convert to fraction form
    9,616.40/13,271.52 = 6,033.92/x
  3. Step 3: Cross multiply
    9,616.40x = 13,271.52 × 6,033.92
  4. Step 4: Simplify right side
    9,616.40x = 80,079,289.96
  5. Step 5: Solve for x
    x = 80,079,289.96/9,616.40
  6. Step 6: Final answer
    x = 8,327.37

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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.