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Finding the Fourth Proportional to 9,138.83, 13,707.09 and 2,899.49

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Solution

The fourth proportional to 9,138.83, 13,707.09 and 2,899.49 is: 4,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138.83 : 13,707.09 = 2,899.49 : x
  2. Step 2: Convert to fraction form
    9,138.83/13,707.09 = 2,899.49/x
  3. Step 3: Cross multiply
    9,138.83x = 13,707.09 × 2,899.49
  4. Step 4: Simplify right side
    9,138.83x = 39,743,501.85
  5. Step 5: Solve for x
    x = 39,743,501.85/9,138.83
  6. Step 6: Final answer
    x = 4,348.86

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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.