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Finding the Fourth Proportional to 9,492.07, 13,105.22 and 8,495.62

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Solution

The fourth proportional to 9,492.07, 13,105.22 and 8,495.62 is: 11,729.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.07 : 13,105.22 = 8,495.62 : x
  2. Step 2: Convert to fraction form
    9,492.07/13,105.22 = 8,495.62/x
  3. Step 3: Cross multiply
    9,492.07x = 13,105.22 × 8,495.62
  4. Step 4: Simplify right side
    9,492.07x = 111,336,969.14
  5. Step 5: Solve for x
    x = 111,336,969.14/9,492.07
  6. Step 6: Final answer
    x = 11,729.47

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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.