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Finding the Fourth Proportional to 6,989.94, 9,646.25 and 3,846.06

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Solution

The fourth proportional to 6,989.94, 9,646.25 and 3,846.06 is: 5,307.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.94 : 9,646.25 = 3,846.06 : x
  2. Step 2: Convert to fraction form
    6,989.94/9,646.25 = 3,846.06/x
  3. Step 3: Cross multiply
    6,989.94x = 9,646.25 × 3,846.06
  4. Step 4: Simplify right side
    6,989.94x = 37,100,037.04
  5. Step 5: Solve for x
    x = 37,100,037.04/6,989.94
  6. Step 6: Final answer
    x = 5,307.63

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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.