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Finding the Fourth Proportional to 6,477.36, 9,716.04 and 2,777.18

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Solution

The fourth proportional to 6,477.36, 9,716.04 and 2,777.18 is: 4,165.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,477.36 : 9,716.04 = 2,777.18 : x
  2. Step 2: Convert to fraction form
    6,477.36/9,716.04 = 2,777.18/x
  3. Step 3: Cross multiply
    6,477.36x = 9,716.04 × 2,777.18
  4. Step 4: Simplify right side
    6,477.36x = 26,983,191.97
  5. Step 5: Solve for x
    x = 26,983,191.97/6,477.36
  6. Step 6: Final answer
    x = 4,165.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.