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Finding the Fourth Proportional to 9,238, 13,861.05 and 4,854.43

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Solution

The fourth proportional to 9,238, 13,861.05 and 4,854.43 is: 7,283.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238 : 13,861.05 = 4,854.43 : x
  2. Step 2: Convert to fraction form
    9,238/13,861.05 = 4,854.43/x
  3. Step 3: Cross multiply
    9,238x = 13,861.05 × 4,854.43
  4. Step 4: Simplify right side
    9,238x = 67,287,496.95
  5. Step 5: Solve for x
    x = 67,287,496.95/9,238
  6. Step 6: Final answer
    x = 7,283.77

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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.