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Finding the Fourth Proportional to 9,625.48, 13,285.14 and 5,648.68

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Solution

The fourth proportional to 9,625.48, 13,285.14 and 5,648.68 is: 7,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,625.48 : 13,285.14 = 5,648.68 : x
  2. Step 2: Convert to fraction form
    9,625.48/13,285.14 = 5,648.68/x
  3. Step 3: Cross multiply
    9,625.48x = 13,285.14 × 5,648.68
  4. Step 4: Simplify right side
    9,625.48x = 75,043,504.62
  5. Step 5: Solve for x
    x = 75,043,504.62/9,625.48
  6. Step 6: Final answer
    x = 7,796.34

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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.