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Finding the Fourth Proportional to 9,340, 14,010.08 and 2,414.08

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Solution

The fourth proportional to 9,340, 14,010.08 and 2,414.08 is: 3,621.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,340 : 14,010.08 = 2,414.08 : x
  2. Step 2: Convert to fraction form
    9,340/14,010.08 = 2,414.08/x
  3. Step 3: Cross multiply
    9,340x = 14,010.08 × 2,414.08
  4. Step 4: Simplify right side
    9,340x = 33,821,453.93
  5. Step 5: Solve for x
    x = 33,821,453.93/9,340
  6. Step 6: Final answer
    x = 3,621.14

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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.