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Finding the Fourth Proportional to 6,772.52, 9,348.66 and 4,415.24

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Solution

The fourth proportional to 6,772.52, 9,348.66 and 4,415.24 is: 6,094.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,772.52 : 9,348.66 = 4,415.24 : x
  2. Step 2: Convert to fraction form
    6,772.52/9,348.66 = 4,415.24/x
  3. Step 3: Cross multiply
    6,772.52x = 9,348.66 × 4,415.24
  4. Step 4: Simplify right side
    6,772.52x = 41,276,577.58
  5. Step 5: Solve for x
    x = 41,276,577.58/6,772.52
  6. Step 6: Final answer
    x = 6,094.71

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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.