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Finding the Fourth Proportional to 9,239, 13,858.62 and 3,083

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Solution

The fourth proportional to 9,239, 13,858.62 and 3,083 is: 4,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,239 : 13,858.62 = 3,083 : x
  2. Step 2: Convert to fraction form
    9,239/13,858.62 = 3,083/x
  3. Step 3: Cross multiply
    9,239x = 13,858.62 × 3,083
  4. Step 4: Simplify right side
    9,239x = 42,726,125.46
  5. Step 5: Solve for x
    x = 42,726,125.46/9,239
  6. Step 6: Final answer
    x = 4,624.54

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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.