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Finding the Fourth Proportional to 6,540.93, 9,022.44 and 5,703.65

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Solution

The fourth proportional to 6,540.93, 9,022.44 and 5,703.65 is: 7,867.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.93 : 9,022.44 = 5,703.65 : x
  2. Step 2: Convert to fraction form
    6,540.93/9,022.44 = 5,703.65/x
  3. Step 3: Cross multiply
    6,540.93x = 9,022.44 × 5,703.65
  4. Step 4: Simplify right side
    6,540.93x = 51,460,794.79
  5. Step 5: Solve for x
    x = 51,460,794.79/6,540.93
  6. Step 6: Final answer
    x = 7,867.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.