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Finding the Fourth Proportional to 9,261, 13,891.50 and 3,718.17

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Solution

The fourth proportional to 9,261, 13,891.50 and 3,718.17 is: 5,577.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,261 : 13,891.50 = 3,718.17 : x
  2. Step 2: Convert to fraction form
    9,261/13,891.50 = 3,718.17/x
  3. Step 3: Cross multiply
    9,261x = 13,891.50 × 3,718.17
  4. Step 4: Simplify right side
    9,261x = 51,650,958.56
  5. Step 5: Solve for x
    x = 51,650,958.56/9,261
  6. Step 6: Final answer
    x = 5,577.26

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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.