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Finding the Fourth Proportional to 6,119.64, 9,135.05 and 5,381.55

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Solution

The fourth proportional to 6,119.64, 9,135.05 and 5,381.55 is: 8,033.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,119.64 : 9,135.05 = 5,381.55 : x
  2. Step 2: Convert to fraction form
    6,119.64/9,135.05 = 5,381.55/x
  3. Step 3: Cross multiply
    6,119.64x = 9,135.05 × 5,381.55
  4. Step 4: Simplify right side
    6,119.64x = 49,160,701.42
  5. Step 5: Solve for x
    x = 49,160,701.42/6,119.64
  6. Step 6: Final answer
    x = 8,033.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.