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Finding the Fourth Proportional to 6,646.05, 9,966.02 and 2,262.33

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Solution

The fourth proportional to 6,646.05, 9,966.02 and 2,262.33 is: 3,392.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.05 : 9,966.02 = 2,262.33 : x
  2. Step 2: Convert to fraction form
    6,646.05/9,966.02 = 2,262.33/x
  3. Step 3: Cross multiply
    6,646.05x = 9,966.02 × 2,262.33
  4. Step 4: Simplify right side
    6,646.05x = 22,546,426.03
  5. Step 5: Solve for x
    x = 22,546,426.03/6,646.05
  6. Step 6: Final answer
    x = 3,392.46

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.