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Finding the Fourth Proportional to 6,120.93, 9,184.23 and 6,022.65

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Solution

The fourth proportional to 6,120.93, 9,184.23 and 6,022.65 is: 9,036.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.93 : 9,184.23 = 6,022.65 : x
  2. Step 2: Convert to fraction form
    6,120.93/9,184.23 = 6,022.65/x
  3. Step 3: Cross multiply
    6,120.93x = 9,184.23 × 6,022.65
  4. Step 4: Simplify right side
    6,120.93x = 55,313,402.81
  5. Step 5: Solve for x
    x = 55,313,402.81/6,120.93
  6. Step 6: Final answer
    x = 9,036.76

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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.