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Finding the Fourth Proportional to 9,119.66, 13,673.71 and 3,851.96

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Solution

The fourth proportional to 9,119.66, 13,673.71 and 3,851.96 is: 5,775.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,119.66 : 13,673.71 = 3,851.96 : x
  2. Step 2: Convert to fraction form
    9,119.66/13,673.71 = 3,851.96/x
  3. Step 3: Cross multiply
    9,119.66x = 13,673.71 × 3,851.96
  4. Step 4: Simplify right side
    9,119.66x = 52,670,520.42
  5. Step 5: Solve for x
    x = 52,670,520.42/9,119.66
  6. Step 6: Final answer
    x = 5,775.49

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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.