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Finding the Fourth Proportional to 9,831.16, 13,568.94 and 5,851.48

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Solution

The fourth proportional to 9,831.16, 13,568.94 and 5,851.48 is: 8,076.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.16 : 13,568.94 = 5,851.48 : x
  2. Step 2: Convert to fraction form
    9,831.16/13,568.94 = 5,851.48/x
  3. Step 3: Cross multiply
    9,831.16x = 13,568.94 × 5,851.48
  4. Step 4: Simplify right side
    9,831.16x = 79,398,381.03
  5. Step 5: Solve for x
    x = 79,398,381.03/9,831.16
  6. Step 6: Final answer
    x = 8,076.20

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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.