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Finding the Fourth Proportional to 9,266.85, 13,900.23 and 3,110.85

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Solution

The fourth proportional to 9,266.85, 13,900.23 and 3,110.85 is: 4,666.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.85 : 13,900.23 = 3,110.85 : x
  2. Step 2: Convert to fraction form
    9,266.85/13,900.23 = 3,110.85/x
  3. Step 3: Cross multiply
    9,266.85x = 13,900.23 × 3,110.85
  4. Step 4: Simplify right side
    9,266.85x = 43,241,530.50
  5. Step 5: Solve for x
    x = 43,241,530.50/9,266.85
  6. Step 6: Final answer
    x = 4,666.26

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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.