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Finding the Fourth Proportional to 9,716.88, 13,415.40 and 6,731.61

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Solution

The fourth proportional to 9,716.88, 13,415.40 and 6,731.61 is: 9,293.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.88 : 13,415.40 = 6,731.61 : x
  2. Step 2: Convert to fraction form
    9,716.88/13,415.40 = 6,731.61/x
  3. Step 3: Cross multiply
    9,716.88x = 13,415.40 × 6,731.61
  4. Step 4: Simplify right side
    9,716.88x = 90,307,240.79
  5. Step 5: Solve for x
    x = 90,307,240.79/9,716.88
  6. Step 6: Final answer
    x = 9,293.85

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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.