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Finding the Fourth Proportional to 6,154.42, 9,234.46 and 3,817.16

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Solution

The fourth proportional to 6,154.42, 9,234.46 and 3,817.16 is: 5,727.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.42 : 9,234.46 = 3,817.16 : x
  2. Step 2: Convert to fraction form
    6,154.42/9,234.46 = 3,817.16/x
  3. Step 3: Cross multiply
    6,154.42x = 9,234.46 × 3,817.16
  4. Step 4: Simplify right side
    6,154.42x = 35,249,401.79
  5. Step 5: Solve for x
    x = 35,249,401.79/6,154.42
  6. Step 6: Final answer
    x = 5,727.50

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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.