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Finding the Fourth Proportional to 9,831.51, 13,560.24 and 6,243.38

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Solution

The fourth proportional to 9,831.51, 13,560.24 and 6,243.38 is: 8,611.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.51 : 13,560.24 = 6,243.38 : x
  2. Step 2: Convert to fraction form
    9,831.51/13,560.24 = 6,243.38/x
  3. Step 3: Cross multiply
    9,831.51x = 13,560.24 × 6,243.38
  4. Step 4: Simplify right side
    9,831.51x = 84,661,737.67
  5. Step 5: Solve for x
    x = 84,661,737.67/9,831.51
  6. Step 6: Final answer
    x = 8,611.26

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Why These Related Problems?

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