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Finding the Fourth Proportional to 7,077.86, 9,768.21 and 4,093.64

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Solution

The fourth proportional to 7,077.86, 9,768.21 and 4,093.64 is: 5,649.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,077.86 : 9,768.21 = 4,093.64 : x
  2. Step 2: Convert to fraction form
    7,077.86/9,768.21 = 4,093.64/x
  3. Step 3: Cross multiply
    7,077.86x = 9,768.21 × 4,093.64
  4. Step 4: Simplify right side
    7,077.86x = 39,987,535.18
  5. Step 5: Solve for x
    x = 39,987,535.18/7,077.86
  6. Step 6: Final answer
    x = 5,649.66

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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.