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Finding the Fourth Proportional to 9,625.94, 13,283.85 and 5,647.13

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Solution

The fourth proportional to 9,625.94, 13,283.85 and 5,647.13 is: 7,793.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.94 : 13,283.85 = 5,647.13 : x
  2. Step 2: Convert to fraction form
    9,625.94/13,283.85 = 5,647.13/x
  3. Step 3: Cross multiply
    9,625.94x = 13,283.85 × 5,647.13
  4. Step 4: Simplify right side
    9,625.94x = 75,015,627.85
  5. Step 5: Solve for x
    x = 75,015,627.85/9,625.94
  6. Step 6: Final answer
    x = 7,793.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.