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Finding the Fourth Proportional to 27,927.36, 41,894.64 and 9,209.28

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Solution

The fourth proportional to 27,927.36, 41,894.64 and 9,209.28 is: 13,815.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,927.36 : 41,894.64 = 9,209.28 : x
  2. Step 2: Convert to fraction form
    27,927.36/41,894.64 = 9,209.28/x
  3. Step 3: Cross multiply
    27,927.36x = 41,894.64 × 9,209.28
  4. Step 4: Simplify right side
    27,927.36x = 385,819,470.26
  5. Step 5: Solve for x
    x = 385,819,470.26/27,927.36
  6. Step 6: Final answer
    x = 13,815.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.