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Finding the Fourth Proportional to 7,213.37, 9,954.47 and 4,189.08

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Solution

The fourth proportional to 7,213.37, 9,954.47 and 4,189.08 is: 5,780.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,213.37 : 9,954.47 = 4,189.08 : x
  2. Step 2: Convert to fraction form
    7,213.37/9,954.47 = 4,189.08/x
  3. Step 3: Cross multiply
    7,213.37x = 9,954.47 × 4,189.08
  4. Step 4: Simplify right side
    7,213.37x = 41,700,050.24
  5. Step 5: Solve for x
    x = 41,700,050.24/7,213.37
  6. Step 6: Final answer
    x = 5,780.94

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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.