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Finding the Fourth Proportional to 9,589.36, 14,388.36 and 4,663.48

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Solution

The fourth proportional to 9,589.36, 14,388.36 and 4,663.48 is: 6,997.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.36 : 14,388.36 = 4,663.48 : x
  2. Step 2: Convert to fraction form
    9,589.36/14,388.36 = 4,663.48/x
  3. Step 3: Cross multiply
    9,589.36x = 14,388.36 × 4,663.48
  4. Step 4: Simplify right side
    9,589.36x = 67,099,829.09
  5. Step 5: Solve for x
    x = 67,099,829.09/9,589.36
  6. Step 6: Final answer
    x = 6,997.32

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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.