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Finding the Fourth Proportional to 7,090.30, 9,783.76 and 4,105.73

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Solution

The fourth proportional to 7,090.30, 9,783.76 and 4,105.73 is: 5,665.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.30 : 9,783.76 = 4,105.73 : x
  2. Step 2: Convert to fraction form
    7,090.30/9,783.76 = 4,105.73/x
  3. Step 3: Cross multiply
    7,090.30x = 9,783.76 × 4,105.73
  4. Step 4: Simplify right side
    7,090.30x = 40,169,476.94
  5. Step 5: Solve for x
    x = 40,169,476.94/7,090.30
  6. Step 6: Final answer
    x = 5,665.41

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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.