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Finding the Fourth Proportional to 9,453.69, 14,166.59 and 8,415.68

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Solution

The fourth proportional to 9,453.69, 14,166.59 and 8,415.68 is: 12,611.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,453.69 : 14,166.59 = 8,415.68 : x
  2. Step 2: Convert to fraction form
    9,453.69/14,166.59 = 8,415.68/x
  3. Step 3: Cross multiply
    9,453.69x = 14,166.59 × 8,415.68
  4. Step 4: Simplify right side
    9,453.69x = 119,221,375.22
  5. Step 5: Solve for x
    x = 119,221,375.22/9,453.69
  6. Step 6: Final answer
    x = 12,611.09

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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.