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Finding the Fourth Proportional to 6,655.64, 9,184.50 and 3,671.33

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Solution

The fourth proportional to 6,655.64, 9,184.50 and 3,671.33 is: 5,066.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.64 : 9,184.50 = 3,671.33 : x
  2. Step 2: Convert to fraction form
    6,655.64/9,184.50 = 3,671.33/x
  3. Step 3: Cross multiply
    6,655.64x = 9,184.50 × 3,671.33
  4. Step 4: Simplify right side
    6,655.64x = 33,719,284.46
  5. Step 5: Solve for x
    x = 33,719,284.46/6,655.64
  6. Step 6: Final answer
    x = 5,066.28

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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.