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Finding the Fourth Proportional to 9,609.87, 13,257.92 and 5,831.69

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Solution

The fourth proportional to 9,609.87, 13,257.92 and 5,831.69 is: 8,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,609.87 : 13,257.92 = 5,831.69 : x
  2. Step 2: Convert to fraction form
    9,609.87/13,257.92 = 5,831.69/x
  3. Step 3: Cross multiply
    9,609.87x = 13,257.92 × 5,831.69
  4. Step 4: Simplify right side
    9,609.87x = 77,315,984.04
  5. Step 5: Solve for x
    x = 77,315,984.04/9,609.87
  6. Step 6: Final answer
    x = 8,045.48

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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.