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Finding the Fourth Proportional to 7,205.99, 9,946.15 and 4,694.99

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Solution

The fourth proportional to 7,205.99, 9,946.15 and 4,694.99 is: 6,480.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,205.99 : 9,946.15 = 4,694.99 : x
  2. Step 2: Convert to fraction form
    7,205.99/9,946.15 = 4,694.99/x
  3. Step 3: Cross multiply
    7,205.99x = 9,946.15 × 4,694.99
  4. Step 4: Simplify right side
    7,205.99x = 46,697,074.79
  5. Step 5: Solve for x
    x = 46,697,074.79/7,205.99
  6. Step 6: Final answer
    x = 6,480.31

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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.