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Finding the Fourth Proportional to 9,282.54, 13,926.42 and 3,739.74

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Solution

The fourth proportional to 9,282.54, 13,926.42 and 3,739.74 is: 5,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,282.54 : 13,926.42 = 3,739.74 : x
  2. Step 2: Convert to fraction form
    9,282.54/13,926.42 = 3,739.74/x
  3. Step 3: Cross multiply
    9,282.54x = 13,926.42 × 3,739.74
  4. Step 4: Simplify right side
    9,282.54x = 52,081,189.93
  5. Step 5: Solve for x
    x = 52,081,189.93/9,282.54
  6. Step 6: Final answer
    x = 5,610.66

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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.