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Finding the Fourth Proportional to 9,311.79, 12,850.16 and 6,932.40

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Solution

The fourth proportional to 9,311.79, 12,850.16 and 6,932.40 is: 9,566.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.79 : 12,850.16 = 6,932.40 : x
  2. Step 2: Convert to fraction form
    9,311.79/12,850.16 = 6,932.40/x
  3. Step 3: Cross multiply
    9,311.79x = 12,850.16 × 6,932.40
  4. Step 4: Simplify right side
    9,311.79x = 89,082,384.93
  5. Step 5: Solve for x
    x = 89,082,384.93/9,311.79
  6. Step 6: Final answer
    x = 9,566.62

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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.