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Finding the Fourth Proportional to 9,239.86, 13,858.57 and 2,666.71

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Solution

The fourth proportional to 9,239.86, 13,858.57 and 2,666.71 is: 3,999.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239.86 : 13,858.57 = 2,666.71 : x
  2. Step 2: Convert to fraction form
    9,239.86/13,858.57 = 2,666.71/x
  3. Step 3: Cross multiply
    9,239.86x = 13,858.57 × 2,666.71
  4. Step 4: Simplify right side
    9,239.86x = 36,956,787.20
  5. Step 5: Solve for x
    x = 36,956,787.20/9,239.86
  6. Step 6: Final answer
    x = 3,999.71

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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.