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Finding the Fourth Proportional to 7,089.33, 9,783.85 and 4,105.22

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Solution

The fourth proportional to 7,089.33, 9,783.85 and 4,105.22 is: 5,665.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,089.33 : 9,783.85 = 4,105.22 : x
  2. Step 2: Convert to fraction form
    7,089.33/9,783.85 = 4,105.22/x
  3. Step 3: Cross multiply
    7,089.33x = 9,783.85 × 4,105.22
  4. Step 4: Simplify right side
    7,089.33x = 40,164,836.17
  5. Step 5: Solve for x
    x = 40,164,836.17/7,089.33
  6. Step 6: Final answer
    x = 5,665.53

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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.