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Finding the Fourth Proportional to 9,243.84, 13,865.67 and 2,318.34

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Solution

The fourth proportional to 9,243.84, 13,865.67 and 2,318.34 is: 3,477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.84 : 13,865.67 = 2,318.34 : x
  2. Step 2: Convert to fraction form
    9,243.84/13,865.67 = 2,318.34/x
  3. Step 3: Cross multiply
    9,243.84x = 13,865.67 × 2,318.34
  4. Step 4: Simplify right side
    9,243.84x = 32,145,337.39
  5. Step 5: Solve for x
    x = 32,145,337.39/9,243.84
  6. Step 6: Final answer
    x = 3,477.49

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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.