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Finding the Fourth Proportional to 9,254.04, 13,880.94 and 2,234

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Solution

The fourth proportional to 9,254.04, 13,880.94 and 2,234 is: 3,350.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,254.04 : 13,880.94 = 2,234 : x
  2. Step 2: Convert to fraction form
    9,254.04/13,880.94 = 2,234/x
  3. Step 3: Cross multiply
    9,254.04x = 13,880.94 × 2,234
  4. Step 4: Simplify right side
    9,254.04x = 31,010,019.96
  5. Step 5: Solve for x
    x = 31,010,019.96/9,254.04
  6. Step 6: Final answer
    x = 3,350.97

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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.