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Finding the Fourth Proportional to 7,076.82, 9,767.19 and 4,094.46

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Solution

The fourth proportional to 7,076.82, 9,767.19 and 4,094.46 is: 5,651.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,076.82 : 9,767.19 = 4,094.46 : x
  2. Step 2: Convert to fraction form
    7,076.82/9,767.19 = 4,094.46/x
  3. Step 3: Cross multiply
    7,076.82x = 9,767.19 × 4,094.46
  4. Step 4: Simplify right side
    7,076.82x = 39,991,368.77
  5. Step 5: Solve for x
    x = 39,991,368.77/7,076.82
  6. Step 6: Final answer
    x = 5,651.04

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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.