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Finding the Fourth Proportional to 6,474.96, 8,935.22 and 3,956.16

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Solution

The fourth proportional to 6,474.96, 8,935.22 and 3,956.16 is: 5,459.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.96 : 8,935.22 = 3,956.16 : x
  2. Step 2: Convert to fraction form
    6,474.96/8,935.22 = 3,956.16/x
  3. Step 3: Cross multiply
    6,474.96x = 8,935.22 × 3,956.16
  4. Step 4: Simplify right side
    6,474.96x = 35,349,159.96
  5. Step 5: Solve for x
    x = 35,349,159.96/6,474.96
  6. Step 6: Final answer
    x = 5,459.36

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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.