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Finding the Fourth Proportional to 9,153.88, 12,625.68 and 5,797.24

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Solution

The fourth proportional to 9,153.88, 12,625.68 and 5,797.24 is: 7,995.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,153.88 : 12,625.68 = 5,797.24 : x
  2. Step 2: Convert to fraction form
    9,153.88/12,625.68 = 5,797.24/x
  3. Step 3: Cross multiply
    9,153.88x = 12,625.68 × 5,797.24
  4. Step 4: Simplify right side
    9,153.88x = 73,194,097.12
  5. Step 5: Solve for x
    x = 73,194,097.12/9,153.88
  6. Step 6: Final answer
    x = 7,995.96

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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.