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Finding the Fourth Proportional to 9,283.16, 13,926.13 and 3,361.43

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Solution

The fourth proportional to 9,283.16, 13,926.13 and 3,361.43 is: 5,042.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.16 : 13,926.13 = 3,361.43 : x
  2. Step 2: Convert to fraction form
    9,283.16/13,926.13 = 3,361.43/x
  3. Step 3: Cross multiply
    9,283.16x = 13,926.13 × 3,361.43
  4. Step 4: Simplify right side
    9,283.16x = 46,811,711.17
  5. Step 5: Solve for x
    x = 46,811,711.17/9,283.16
  6. Step 6: Final answer
    x = 5,042.65

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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.