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Finding the Fourth Proportional to 6,189.18, 9,275.67 and 5,364.06

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Solution

The fourth proportional to 6,189.18, 9,275.67 and 5,364.06 is: 8,039.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,189.18 : 9,275.67 = 5,364.06 : x
  2. Step 2: Convert to fraction form
    6,189.18/9,275.67 = 5,364.06/x
  3. Step 3: Cross multiply
    6,189.18x = 9,275.67 × 5,364.06
  4. Step 4: Simplify right side
    6,189.18x = 49,755,250.42
  5. Step 5: Solve for x
    x = 49,755,250.42/6,189.18
  6. Step 6: Final answer
    x = 8,039.07

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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.