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Finding the Fourth Proportional to 6,969.83, 9,620.21 and 4,315.73

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Solution

The fourth proportional to 6,969.83, 9,620.21 and 4,315.73 is: 5,956.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.83 : 9,620.21 = 4,315.73 : x
  2. Step 2: Convert to fraction form
    6,969.83/9,620.21 = 4,315.73/x
  3. Step 3: Cross multiply
    6,969.83x = 9,620.21 × 4,315.73
  4. Step 4: Simplify right side
    6,969.83x = 41,518,263.74
  5. Step 5: Solve for x
    x = 41,518,263.74/6,969.83
  6. Step 6: Final answer
    x = 5,956.85

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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.