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Finding the Fourth Proportional to 9,956.36, 13,738.38 and 6,593.96

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Solution

The fourth proportional to 9,956.36, 13,738.38 and 6,593.96 is: 9,098.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,956.36 : 13,738.38 = 6,593.96 : x
  2. Step 2: Convert to fraction form
    9,956.36/13,738.38 = 6,593.96/x
  3. Step 3: Cross multiply
    9,956.36x = 13,738.38 × 6,593.96
  4. Step 4: Simplify right side
    9,956.36x = 90,590,328.18
  5. Step 5: Solve for x
    x = 90,590,328.18/9,956.36
  6. Step 6: Final answer
    x = 9,098.74

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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.