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Finding the Fourth Proportional to 9,447.78, 14,173.50 and 5,292.48

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Solution

The fourth proportional to 9,447.78, 14,173.50 and 5,292.48 is: 7,939.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,447.78 : 14,173.50 = 5,292.48 : x
  2. Step 2: Convert to fraction form
    9,447.78/14,173.50 = 5,292.48/x
  3. Step 3: Cross multiply
    9,447.78x = 14,173.50 × 5,292.48
  4. Step 4: Simplify right side
    9,447.78x = 75,012,965.28
  5. Step 5: Solve for x
    x = 75,012,965.28/9,447.78
  6. Step 6: Final answer
    x = 7,939.75

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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.