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Finding the Fourth Proportional to 9,108.78, 13,664.14 and 2,869

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Solution

The fourth proportional to 9,108.78, 13,664.14 and 2,869 is: 4,303.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.78 : 13,664.14 = 2,869 : x
  2. Step 2: Convert to fraction form
    9,108.78/13,664.14 = 2,869/x
  3. Step 3: Cross multiply
    9,108.78x = 13,664.14 × 2,869
  4. Step 4: Simplify right side
    9,108.78x = 39,202,417.66
  5. Step 5: Solve for x
    x = 39,202,417.66/9,108.78
  6. Step 6: Final answer
    x = 4,303.81

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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.