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Finding the Fourth Proportional to 9,351.84, 12,911.76 and 6,216.96

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Solution

The fourth proportional to 9,351.84, 12,911.76 and 6,216.96 is: 8,583.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,351.84 : 12,911.76 = 6,216.96 : x
  2. Step 2: Convert to fraction form
    9,351.84/12,911.76 = 6,216.96/x
  3. Step 3: Cross multiply
    9,351.84x = 12,911.76 × 6,216.96
  4. Step 4: Simplify right side
    9,351.84x = 80,271,895.45
  5. Step 5: Solve for x
    x = 80,271,895.45/9,351.84
  6. Step 6: Final answer
    x = 8,583.54

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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.