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Finding the Fourth Proportional to 9,716.94, 14,573.37 and 3,139.55

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Solution

The fourth proportional to 9,716.94, 14,573.37 and 3,139.55 is: 4,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.94 : 14,573.37 = 3,139.55 : x
  2. Step 2: Convert to fraction form
    9,716.94/14,573.37 = 3,139.55/x
  3. Step 3: Cross multiply
    9,716.94x = 14,573.37 × 3,139.55
  4. Step 4: Simplify right side
    9,716.94x = 45,753,750.92
  5. Step 5: Solve for x
    x = 45,753,750.92/9,716.94
  6. Step 6: Final answer
    x = 4,708.66

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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.