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Finding the Fourth Proportional to 9,133.08, 13,696 and 3,208.20

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Solution

The fourth proportional to 9,133.08, 13,696 and 3,208.20 is: 4,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,133.08 : 13,696 = 3,208.20 : x
  2. Step 2: Convert to fraction form
    9,133.08/13,696 = 3,208.20/x
  3. Step 3: Cross multiply
    9,133.08x = 13,696 × 3,208.20
  4. Step 4: Simplify right side
    9,133.08x = 43,939,507.20
  5. Step 5: Solve for x
    x = 43,939,507.20/9,133.08
  6. Step 6: Final answer
    x = 4,811.03

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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.