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Finding the Fourth Proportional to 9,892.23, 14,834.70 and 8,343.15

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Solution

The fourth proportional to 9,892.23, 14,834.70 and 8,343.15 is: 12,511.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.23 : 14,834.70 = 8,343.15 : x
  2. Step 2: Convert to fraction form
    9,892.23/14,834.70 = 8,343.15/x
  3. Step 3: Cross multiply
    9,892.23x = 14,834.70 × 8,343.15
  4. Step 4: Simplify right side
    9,892.23x = 123,768,127.31
  5. Step 5: Solve for x
    x = 123,768,127.31/9,892.23
  6. Step 6: Final answer
    x = 12,511.65

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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.