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Finding the Fourth Proportional to 10,035, 13,831.02 and 9,433.08

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Solution

The fourth proportional to 10,035, 13,831.02 and 9,433.08 is: 13,001.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,035 : 13,831.02 = 9,433.08 : x
  2. Step 2: Convert to fraction form
    10,035/13,831.02 = 9,433.08/x
  3. Step 3: Cross multiply
    10,035x = 13,831.02 × 9,433.08
  4. Step 4: Simplify right side
    10,035x = 130,469,118.14
  5. Step 5: Solve for x
    x = 130,469,118.14/10,035
  6. Step 6: Final answer
    x = 13,001.41

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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.