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Finding the Fourth Proportional to 6,633.75, 9,152.28 and 4,114.95

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Solution

The fourth proportional to 6,633.75, 9,152.28 and 4,114.95 is: 5,677.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.75 : 9,152.28 = 4,114.95 : x
  2. Step 2: Convert to fraction form
    6,633.75/9,152.28 = 4,114.95/x
  3. Step 3: Cross multiply
    6,633.75x = 9,152.28 × 4,114.95
  4. Step 4: Simplify right side
    6,633.75x = 37,661,174.59
  5. Step 5: Solve for x
    x = 37,661,174.59/6,633.75
  6. Step 6: Final answer
    x = 5,677.21

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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.