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Finding the Fourth Proportional to 9,311.34, 12,833.16 and 8,225.12

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Solution

The fourth proportional to 9,311.34, 12,833.16 and 8,225.12 is: 11,336.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.34 : 12,833.16 = 8,225.12 : x
  2. Step 2: Convert to fraction form
    9,311.34/12,833.16 = 8,225.12/x
  3. Step 3: Cross multiply
    9,311.34x = 12,833.16 × 8,225.12
  4. Step 4: Simplify right side
    9,311.34x = 105,554,280.98
  5. Step 5: Solve for x
    x = 105,554,280.98/9,311.34
  6. Step 6: Final answer
    x = 11,336.10

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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.