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Finding the Fourth Proportional to 6,990.32, 9,646.68 and 3,846.56

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Solution

The fourth proportional to 6,990.32, 9,646.68 and 3,846.56 is: 5,308.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,990.32 : 9,646.68 = 3,846.56 : x
  2. Step 2: Convert to fraction form
    6,990.32/9,646.68 = 3,846.56/x
  3. Step 3: Cross multiply
    6,990.32x = 9,646.68 × 3,846.56
  4. Step 4: Simplify right side
    6,990.32x = 37,106,533.42
  5. Step 5: Solve for x
    x = 37,106,533.42/6,990.32
  6. Step 6: Final answer
    x = 5,308.27

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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.