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Finding the Fourth Proportional to 9,243.93, 13,871.39 and 3,404.64

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Solution

The fourth proportional to 9,243.93, 13,871.39 and 3,404.64 is: 5,108.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.93 : 13,871.39 = 3,404.64 : x
  2. Step 2: Convert to fraction form
    9,243.93/13,871.39 = 3,404.64/x
  3. Step 3: Cross multiply
    9,243.93x = 13,871.39 × 3,404.64
  4. Step 4: Simplify right side
    9,243.93x = 47,227,089.25
  5. Step 5: Solve for x
    x = 47,227,089.25/9,243.93
  6. Step 6: Final answer
    x = 5,108.98

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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.