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Finding the Fourth Proportional to 9,243.25, 13,854.94 and 3,314.43

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Solution

The fourth proportional to 9,243.25, 13,854.94 and 3,314.43 is: 4,968.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.25 : 13,854.94 = 3,314.43 : x
  2. Step 2: Convert to fraction form
    9,243.25/13,854.94 = 3,314.43/x
  3. Step 3: Cross multiply
    9,243.25x = 13,854.94 × 3,314.43
  4. Step 4: Simplify right side
    9,243.25x = 45,921,220.50
  5. Step 5: Solve for x
    x = 45,921,220.50/9,243.25
  6. Step 6: Final answer
    x = 4,968.08

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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.