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Finding the Fourth Proportional to 9,851.94, 14,775.68 and 2,831.94

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Solution

The fourth proportional to 9,851.94, 14,775.68 and 2,831.94 is: 4,247.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,851.94 : 14,775.68 = 2,831.94 : x
  2. Step 2: Convert to fraction form
    9,851.94/14,775.68 = 2,831.94/x
  3. Step 3: Cross multiply
    9,851.94x = 14,775.68 × 2,831.94
  4. Step 4: Simplify right side
    9,851.94x = 41,843,846.30
  5. Step 5: Solve for x
    x = 41,843,846.30/9,851.94
  6. Step 6: Final answer
    x = 4,247.27

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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.