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Finding the Fourth Proportional to 6,089.27, 9,133.11 and 2,580.66

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Solution

The fourth proportional to 6,089.27, 9,133.11 and 2,580.66 is: 3,870.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.27 : 9,133.11 = 2,580.66 : x
  2. Step 2: Convert to fraction form
    6,089.27/9,133.11 = 2,580.66/x
  3. Step 3: Cross multiply
    6,089.27x = 9,133.11 × 2,580.66
  4. Step 4: Simplify right side
    6,089.27x = 23,569,451.65
  5. Step 5: Solve for x
    x = 23,569,451.65/6,089.27
  6. Step 6: Final answer
    x = 3,870.66

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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.