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Finding the Fourth Proportional to 9,492.72, 13,097.73 and 5,511.43

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Solution

The fourth proportional to 9,492.72, 13,097.73 and 5,511.43 is: 7,604.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,492.72 : 13,097.73 = 5,511.43 : x
  2. Step 2: Convert to fraction form
    9,492.72/13,097.73 = 5,511.43/x
  3. Step 3: Cross multiply
    9,492.72x = 13,097.73 × 5,511.43
  4. Step 4: Simplify right side
    9,492.72x = 72,187,222.05
  5. Step 5: Solve for x
    x = 72,187,222.05/9,492.72
  6. Step 6: Final answer
    x = 7,604.48

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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.