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Finding the Fourth Proportional to 6,414.36, 8,848.44 and 4,314.84

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Solution

The fourth proportional to 6,414.36, 8,848.44 and 4,314.84 is: 5,952.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,414.36 : 8,848.44 = 4,314.84 : x
  2. Step 2: Convert to fraction form
    6,414.36/8,848.44 = 4,314.84/x
  3. Step 3: Cross multiply
    6,414.36x = 8,848.44 × 4,314.84
  4. Step 4: Simplify right side
    6,414.36x = 38,179,602.85
  5. Step 5: Solve for x
    x = 38,179,602.85/6,414.36
  6. Step 6: Final answer
    x = 5,952.21

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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.