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Finding the Fourth Proportional to 9,005.08, 13,509.06 and 3,811

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Solution

The fourth proportional to 9,005.08, 13,509.06 and 3,811 is: 5,717.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,005.08 : 13,509.06 = 3,811 : x
  2. Step 2: Convert to fraction form
    9,005.08/13,509.06 = 3,811/x
  3. Step 3: Cross multiply
    9,005.08x = 13,509.06 × 3,811
  4. Step 4: Simplify right side
    9,005.08x = 51,483,027.66
  5. Step 5: Solve for x
    x = 51,483,027.66/9,005.08
  6. Step 6: Final answer
    x = 5,717.11

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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.