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Finding the Fourth Proportional to 9,153.63, 12,625.34 and 5,796.99

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Solution

The fourth proportional to 9,153.63, 12,625.34 and 5,796.99 is: 7,995.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.63 : 12,625.34 = 5,796.99 : x
  2. Step 2: Convert to fraction form
    9,153.63/12,625.34 = 5,796.99/x
  3. Step 3: Cross multiply
    9,153.63x = 12,625.34 × 5,796.99
  4. Step 4: Simplify right side
    9,153.63x = 73,188,940.74
  5. Step 5: Solve for x
    x = 73,188,940.74/9,153.63
  6. Step 6: Final answer
    x = 7,995.62

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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.