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Finding the Fourth Proportional to 9,243.96, 13,863.21 and 2,670.21

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Solution

The fourth proportional to 9,243.96, 13,863.21 and 2,670.21 is: 4,004.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.96 : 13,863.21 = 2,670.21 : x
  2. Step 2: Convert to fraction form
    9,243.96/13,863.21 = 2,670.21/x
  3. Step 3: Cross multiply
    9,243.96x = 13,863.21 × 2,670.21
  4. Step 4: Simplify right side
    9,243.96x = 37,017,681.97
  5. Step 5: Solve for x
    x = 37,017,681.97/9,243.96
  6. Step 6: Final answer
    x = 4,004.53

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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.