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Finding the Fourth Proportional to 6,990.05, 9,646.42 and 3,846.23

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Solution

The fourth proportional to 6,990.05, 9,646.42 and 3,846.23 is: 5,307.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.05 : 9,646.42 = 3,846.23 : x
  2. Step 2: Convert to fraction form
    6,990.05/9,646.42 = 3,846.23/x
  3. Step 3: Cross multiply
    6,990.05x = 9,646.42 × 3,846.23
  4. Step 4: Simplify right side
    6,990.05x = 37,102,378.98
  5. Step 5: Solve for x
    x = 37,102,378.98/6,990.05
  6. Step 6: Final answer
    x = 5,307.89

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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.