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Finding the Fourth Proportional to 6,920.58, 9,550.47 and 3,776.82

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Solution

The fourth proportional to 6,920.58, 9,550.47 and 3,776.82 is: 5,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,920.58 : 9,550.47 = 3,776.82 : x
  2. Step 2: Convert to fraction form
    6,920.58/9,550.47 = 3,776.82/x
  3. Step 3: Cross multiply
    6,920.58x = 9,550.47 × 3,776.82
  4. Step 4: Simplify right side
    6,920.58x = 36,070,406.11
  5. Step 5: Solve for x
    x = 36,070,406.11/6,920.58
  6. Step 6: Final answer
    x = 5,212.05

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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.