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Finding the Fourth Proportional to 6,989.97, 9,646.14 and 3,846.15

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Solution

The fourth proportional to 6,989.97, 9,646.14 and 3,846.15 is: 5,307.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,989.97 : 9,646.14 = 3,846.15 : x
  2. Step 2: Convert to fraction form
    6,989.97/9,646.14 = 3,846.15/x
  3. Step 3: Cross multiply
    6,989.97x = 9,646.14 × 3,846.15
  4. Step 4: Simplify right side
    6,989.97x = 37,100,501.36
  5. Step 5: Solve for x
    x = 37,100,501.36/6,989.97
  6. Step 6: Final answer
    x = 5,307.68

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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.