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Finding the Fourth Proportional to 6,980.73, 9,628.11 and 4,618.77

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Solution

The fourth proportional to 6,980.73, 9,628.11 and 4,618.77 is: 6,370.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,980.73 : 9,628.11 = 4,618.77 : x
  2. Step 2: Convert to fraction form
    6,980.73/9,628.11 = 4,618.77/x
  3. Step 3: Cross multiply
    6,980.73x = 9,628.11 × 4,618.77
  4. Step 4: Simplify right side
    6,980.73x = 44,470,025.62
  5. Step 5: Solve for x
    x = 44,470,025.62/6,980.73
  6. Step 6: Final answer
    x = 6,370.40

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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.