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Finding the Fourth Proportional to 6,815.95, 9,400.18 and 4,694.86

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Solution

The fourth proportional to 6,815.95, 9,400.18 and 4,694.86 is: 6,474.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,815.95 : 9,400.18 = 4,694.86 : x
  2. Step 2: Convert to fraction form
    6,815.95/9,400.18 = 4,694.86/x
  3. Step 3: Cross multiply
    6,815.95x = 9,400.18 × 4,694.86
  4. Step 4: Simplify right side
    6,815.95x = 44,132,524.69
  5. Step 5: Solve for x
    x = 44,132,524.69/6,815.95
  6. Step 6: Final answer
    x = 6,474.89

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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.