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Finding the Fourth Proportional to 6,655.24, 9,184.74 and 3,671.33

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Solution

The fourth proportional to 6,655.24, 9,184.74 and 3,671.33 is: 5,066.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.24 : 9,184.74 = 3,671.33 : x
  2. Step 2: Convert to fraction form
    6,655.24/9,184.74 = 3,671.33/x
  3. Step 3: Cross multiply
    6,655.24x = 9,184.74 × 3,671.33
  4. Step 4: Simplify right side
    6,655.24x = 33,720,211.50
  5. Step 5: Solve for x
    x = 33,720,211.50/6,655.24
  6. Step 6: Final answer
    x = 5,066.72

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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.