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Finding the Fourth Proportional to 9,677.97, 14,504.20 and 3,831.39

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Solution

The fourth proportional to 9,677.97, 14,504.20 and 3,831.39 is: 5,742.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,677.97 : 14,504.20 = 3,831.39 : x
  2. Step 2: Convert to fraction form
    9,677.97/14,504.20 = 3,831.39/x
  3. Step 3: Cross multiply
    9,677.97x = 14,504.20 × 3,831.39
  4. Step 4: Simplify right side
    9,677.97x = 55,571,237.26
  5. Step 5: Solve for x
    x = 55,571,237.26/9,677.97
  6. Step 6: Final answer
    x = 5,742.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.