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Finding the Fourth Proportional to 27,046.56, 40,569.39 and 9,289.56

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Solution

The fourth proportional to 27,046.56, 40,569.39 and 9,289.56 is: 13,934.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,046.56 : 40,569.39 = 9,289.56 : x
  2. Step 2: Convert to fraction form
    27,046.56/40,569.39 = 9,289.56/x
  3. Step 3: Cross multiply
    27,046.56x = 40,569.39 × 9,289.56
  4. Step 4: Simplify right side
    27,046.56x = 376,871,782.57
  5. Step 5: Solve for x
    x = 376,871,782.57/27,046.56
  6. Step 6: Final answer
    x = 13,934.19

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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.