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Finding the Fourth Proportional to 9,831.78, 14,713.74 and 6,082.02

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Solution

The fourth proportional to 9,831.78, 14,713.74 and 6,082.02 is: 9,102.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,831.78 : 14,713.74 = 6,082.02 : x
  2. Step 2: Convert to fraction form
    9,831.78/14,713.74 = 6,082.02/x
  3. Step 3: Cross multiply
    9,831.78x = 14,713.74 × 6,082.02
  4. Step 4: Simplify right side
    9,831.78x = 89,489,260.95
  5. Step 5: Solve for x
    x = 89,489,260.95/9,831.78
  6. Step 6: Final answer
    x = 9,102.04

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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.