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Finding the Fourth Proportional to 7,084.42, 9,775.90 and 4,100.44

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Solution

The fourth proportional to 7,084.42, 9,775.90 and 4,100.44 is: 5,658.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.42 : 9,775.90 = 4,100.44 : x
  2. Step 2: Convert to fraction form
    7,084.42/9,775.90 = 4,100.44/x
  3. Step 3: Cross multiply
    7,084.42x = 9,775.90 × 4,100.44
  4. Step 4: Simplify right side
    7,084.42x = 40,085,470.89
  5. Step 5: Solve for x
    x = 40,085,470.89/7,084.42
  6. Step 6: Final answer
    x = 5,658.26

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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.