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Finding the Fourth Proportional to 9,108.42, 13,634 and 6,280.74

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Solution

The fourth proportional to 9,108.42, 13,634 and 6,280.74 is: 9,401.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.42 : 13,634 = 6,280.74 : x
  2. Step 2: Convert to fraction form
    9,108.42/13,634 = 6,280.74/x
  3. Step 3: Cross multiply
    9,108.42x = 13,634 × 6,280.74
  4. Step 4: Simplify right side
    9,108.42x = 85,631,609.16
  5. Step 5: Solve for x
    x = 85,631,609.16/9,108.42
  6. Step 6: Final answer
    x = 9,401.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.