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Finding the Fourth Proportional to 9,283.76, 13,926.40 and 3,736.40

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Solution

The fourth proportional to 9,283.76, 13,926.40 and 3,736.40 is: 5,604.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.76 : 13,926.40 = 3,736.40 : x
  2. Step 2: Convert to fraction form
    9,283.76/13,926.40 = 3,736.40/x
  3. Step 3: Cross multiply
    9,283.76x = 13,926.40 × 3,736.40
  4. Step 4: Simplify right side
    9,283.76x = 52,034,600.96
  5. Step 5: Solve for x
    x = 52,034,600.96/9,283.76
  6. Step 6: Final answer
    x = 5,604.91

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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.