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Finding the Fourth Proportional to 27,945.29, 41,916.85 and 9,477.29

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Solution

The fourth proportional to 27,945.29, 41,916.85 and 9,477.29 is: 14,215.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945.29 : 41,916.85 = 9,477.29 : x
  2. Step 2: Convert to fraction form
    27,945.29/41,916.85 = 9,477.29/x
  3. Step 3: Cross multiply
    27,945.29x = 41,916.85 × 9,477.29
  4. Step 4: Simplify right side
    27,945.29x = 397,258,143.34
  5. Step 5: Solve for x
    x = 397,258,143.34/27,945.29
  6. Step 6: Final answer
    x = 14,215.57

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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.