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Finding the Fourth Proportional to 6,446.16, 8,893.04 and 3,927.35

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Solution

The fourth proportional to 6,446.16, 8,893.04 and 3,927.35 is: 5,418.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.16 : 8,893.04 = 3,927.35 : x
  2. Step 2: Convert to fraction form
    6,446.16/8,893.04 = 3,927.35/x
  3. Step 3: Cross multiply
    6,446.16x = 8,893.04 × 3,927.35
  4. Step 4: Simplify right side
    6,446.16x = 34,926,080.64
  5. Step 5: Solve for x
    x = 34,926,080.64/6,446.16
  6. Step 6: Final answer
    x = 5,418.12

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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.