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Finding the Fourth Proportional to 7,096.77, 9,792.99 and 4,072.23

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Solution

The fourth proportional to 7,096.77, 9,792.99 and 4,072.23 is: 5,619.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,096.77 : 9,792.99 = 4,072.23 : x
  2. Step 2: Convert to fraction form
    7,096.77/9,792.99 = 4,072.23/x
  3. Step 3: Cross multiply
    7,096.77x = 9,792.99 × 4,072.23
  4. Step 4: Simplify right side
    7,096.77x = 39,879,307.67
  5. Step 5: Solve for x
    x = 39,879,307.67/7,096.77
  6. Step 6: Final answer
    x = 5,619.36

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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.