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Finding the Fourth Proportional to 6,106.47, 9,171.99 and 3,646.08

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Solution

The fourth proportional to 6,106.47, 9,171.99 and 3,646.08 is: 5,476.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,106.47 : 9,171.99 = 3,646.08 : x
  2. Step 2: Convert to fraction form
    6,106.47/9,171.99 = 3,646.08/x
  3. Step 3: Cross multiply
    6,106.47x = 9,171.99 × 3,646.08
  4. Step 4: Simplify right side
    6,106.47x = 33,441,809.30
  5. Step 5: Solve for x
    x = 33,441,809.30/6,106.47
  6. Step 6: Final answer
    x = 5,476.46

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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.