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Finding the Fourth Proportional to 6,189.43, 9,273.34 and 5,156.07

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Solution

The fourth proportional to 6,189.43, 9,273.34 and 5,156.07 is: 7,725.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.43 : 9,273.34 = 5,156.07 : x
  2. Step 2: Convert to fraction form
    6,189.43/9,273.34 = 5,156.07/x
  3. Step 3: Cross multiply
    6,189.43x = 9,273.34 × 5,156.07
  4. Step 4: Simplify right side
    6,189.43x = 47,813,990.17
  5. Step 5: Solve for x
    x = 47,813,990.17/6,189.43
  6. Step 6: Final answer
    x = 7,725.10

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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.