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Finding the Fourth Proportional to 6,950.25, 9,584.86 and 4,429.73

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Solution

The fourth proportional to 6,950.25, 9,584.86 and 4,429.73 is: 6,108.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,950.25 : 9,584.86 = 4,429.73 : x
  2. Step 2: Convert to fraction form
    6,950.25/9,584.86 = 4,429.73/x
  3. Step 3: Cross multiply
    6,950.25x = 9,584.86 × 4,429.73
  4. Step 4: Simplify right side
    6,950.25x = 42,458,341.89
  5. Step 5: Solve for x
    x = 42,458,341.89/6,950.25
  6. Step 6: Final answer
    x = 6,108.89

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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.