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Finding the Fourth Proportional to 13,737, 18,961.74 and 9,257.88

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Solution

The fourth proportional to 13,737, 18,961.74 and 9,257.88 is: 12,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737 : 18,961.74 = 9,257.88 : x
  2. Step 2: Convert to fraction form
    13,737/18,961.74 = 9,257.88/x
  3. Step 3: Cross multiply
    13,737x = 18,961.74 × 9,257.88
  4. Step 4: Simplify right side
    13,737x = 175,545,513.51
  5. Step 5: Solve for x
    x = 175,545,513.51/13,737
  6. Step 6: Final answer
    x = 12,779.03

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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.