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Finding the Fourth Proportional to 9,238.70, 13,854 and 2,664.74

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Solution

The fourth proportional to 9,238.70, 13,854 and 2,664.74 is: 3,995.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.70 : 13,854 = 2,664.74 : x
  2. Step 2: Convert to fraction form
    9,238.70/13,854 = 2,664.74/x
  3. Step 3: Cross multiply
    9,238.70x = 13,854 × 2,664.74
  4. Step 4: Simplify right side
    9,238.70x = 36,917,307.96
  5. Step 5: Solve for x
    x = 36,917,307.96/9,238.70
  6. Step 6: Final answer
    x = 3,995.94

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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.