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Finding the Fourth Proportional to 6,397.12, 8,825.34 and 4,158.28

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Solution

The fourth proportional to 6,397.12, 8,825.34 and 4,158.28 is: 5,736.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,397.12 : 8,825.34 = 4,158.28 : x
  2. Step 2: Convert to fraction form
    6,397.12/8,825.34 = 4,158.28/x
  3. Step 3: Cross multiply
    6,397.12x = 8,825.34 × 4,158.28
  4. Step 4: Simplify right side
    6,397.12x = 36,698,234.82
  5. Step 5: Solve for x
    x = 36,698,234.82/6,397.12
  6. Step 6: Final answer
    x = 5,736.68

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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.