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Finding the Fourth Proportional to 9,632.13, 13,293.41 and 5,440.65

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Solution

The fourth proportional to 9,632.13, 13,293.41 and 5,440.65 is: 7,508.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,632.13 : 13,293.41 = 5,440.65 : x
  2. Step 2: Convert to fraction form
    9,632.13/13,293.41 = 5,440.65/x
  3. Step 3: Cross multiply
    9,632.13x = 13,293.41 × 5,440.65
  4. Step 4: Simplify right side
    9,632.13x = 72,324,791.12
  5. Step 5: Solve for x
    x = 72,324,791.12/9,632.13
  6. Step 6: Final answer
    x = 7,508.70

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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.