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Finding the Fourth Proportional to 9,260.42, 13,892.90 and 3,020.76

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Solution

The fourth proportional to 9,260.42, 13,892.90 and 3,020.76 is: 4,531.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,260.42 : 13,892.90 = 3,020.76 : x
  2. Step 2: Convert to fraction form
    9,260.42/13,892.90 = 3,020.76/x
  3. Step 3: Cross multiply
    9,260.42x = 13,892.90 × 3,020.76
  4. Step 4: Simplify right side
    9,260.42x = 41,967,101.50
  5. Step 5: Solve for x
    x = 41,967,101.50/9,260.42
  6. Step 6: Final answer
    x = 4,531.88

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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.