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Finding the Fourth Proportional to 9,716.13, 14,576.63 and 4,166.73

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Solution

The fourth proportional to 9,716.13, 14,576.63 and 4,166.73 is: 6,251.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,716.13 : 14,576.63 = 4,166.73 : x
  2. Step 2: Convert to fraction form
    9,716.13/14,576.63 = 4,166.73/x
  3. Step 3: Cross multiply
    9,716.13x = 14,576.63 × 4,166.73
  4. Step 4: Simplify right side
    9,716.13x = 60,736,881.52
  5. Step 5: Solve for x
    x = 60,736,881.52/9,716.13
  6. Step 6: Final answer
    x = 6,251.14

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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.