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Finding the Fourth Proportional to 6,191.43, 9,276.34 and 5,158.07

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Solution

The fourth proportional to 6,191.43, 9,276.34 and 5,158.07 is: 7,728.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,191.43 : 9,276.34 = 5,158.07 : x
  2. Step 2: Convert to fraction form
    6,191.43/9,276.34 = 5,158.07/x
  3. Step 3: Cross multiply
    6,191.43x = 9,276.34 × 5,158.07
  4. Step 4: Simplify right side
    6,191.43x = 47,848,011.06
  5. Step 5: Solve for x
    x = 47,848,011.06/6,191.43
  6. Step 6: Final answer
    x = 7,728.10

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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.