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Finding the Fourth Proportional to 9,892.12, 14,833.42 and 3,313.71

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Solution

The fourth proportional to 9,892.12, 14,833.42 and 3,313.71 is: 4,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,892.12 : 14,833.42 = 3,313.71 : x
  2. Step 2: Convert to fraction form
    9,892.12/14,833.42 = 3,313.71/x
  3. Step 3: Cross multiply
    9,892.12x = 14,833.42 × 3,313.71
  4. Step 4: Simplify right side
    9,892.12x = 49,153,578.02
  5. Step 5: Solve for x
    x = 49,153,578.02/9,892.12
  6. Step 6: Final answer
    x = 4,968.96

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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.