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Finding the Fourth Proportional to 7,097.94, 9,795.06 and 3,954.15

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Solution

The fourth proportional to 7,097.94, 9,795.06 and 3,954.15 is: 5,456.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,097.94 : 9,795.06 = 3,954.15 : x
  2. Step 2: Convert to fraction form
    7,097.94/9,795.06 = 3,954.15/x
  3. Step 3: Cross multiply
    7,097.94x = 9,795.06 × 3,954.15
  4. Step 4: Simplify right side
    7,097.94x = 38,731,136.50
  5. Step 5: Solve for x
    x = 38,731,136.50/7,097.94
  6. Step 6: Final answer
    x = 5,456.67

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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.