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Finding the Fourth Proportional to 6,646.36, 9,171.66 and 3,852.76

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Solution

The fourth proportional to 6,646.36, 9,171.66 and 3,852.76 is: 5,316.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.36 : 9,171.66 = 3,852.76 : x
  2. Step 2: Convert to fraction form
    6,646.36/9,171.66 = 3,852.76/x
  3. Step 3: Cross multiply
    6,646.36x = 9,171.66 × 3,852.76
  4. Step 4: Simplify right side
    6,646.36x = 35,336,204.78
  5. Step 5: Solve for x
    x = 35,336,204.78/6,646.36
  6. Step 6: Final answer
    x = 5,316.63

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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.