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Finding the Fourth Proportional to 7,084.77, 9,776.37 and 4,100.78

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Solution

The fourth proportional to 7,084.77, 9,776.37 and 4,100.78 is: 5,658.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,084.77 : 9,776.37 = 4,100.78 : x
  2. Step 2: Convert to fraction form
    7,084.77/9,776.37 = 4,100.78/x
  3. Step 3: Cross multiply
    7,084.77x = 9,776.37 × 4,100.78
  4. Step 4: Simplify right side
    7,084.77x = 40,090,782.39
  5. Step 5: Solve for x
    x = 40,090,782.39/7,084.77
  6. Step 6: Final answer
    x = 5,658.73

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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.