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Finding the Fourth Proportional to 9,794.88, 14,679.36 and 4,593.60

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Solution

The fourth proportional to 9,794.88, 14,679.36 and 4,593.60 is: 6,884.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,794.88 : 14,679.36 = 4,593.60 : x
  2. Step 2: Convert to fraction form
    9,794.88/14,679.36 = 4,593.60/x
  3. Step 3: Cross multiply
    9,794.88x = 14,679.36 × 4,593.60
  4. Step 4: Simplify right side
    9,794.88x = 67,431,108.10
  5. Step 5: Solve for x
    x = 67,431,108.10/9,794.88
  6. Step 6: Final answer
    x = 6,884.32

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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.