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Finding the Fourth Proportional to 9,716.36, 13,410.56 and 6,178.88

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Solution

The fourth proportional to 9,716.36, 13,410.56 and 6,178.88 is: 8,528.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.36 : 13,410.56 = 6,178.88 : x
  2. Step 2: Convert to fraction form
    9,716.36/13,410.56 = 6,178.88/x
  3. Step 3: Cross multiply
    9,716.36x = 13,410.56 × 6,178.88
  4. Step 4: Simplify right side
    9,716.36x = 82,862,289.95
  5. Step 5: Solve for x
    x = 82,862,289.95/9,716.36
  6. Step 6: Final answer
    x = 8,528.12

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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.