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Finding the Fourth Proportional to 9,415.83, 12,993.41 and 5,166.80

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Solution

The fourth proportional to 9,415.83, 12,993.41 and 5,166.80 is: 7,129.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.83 : 12,993.41 = 5,166.80 : x
  2. Step 2: Convert to fraction form
    9,415.83/12,993.41 = 5,166.80/x
  3. Step 3: Cross multiply
    9,415.83x = 12,993.41 × 5,166.80
  4. Step 4: Simplify right side
    9,415.83x = 67,134,259.99
  5. Step 5: Solve for x
    x = 67,134,259.99/9,415.83
  6. Step 6: Final answer
    x = 7,129.94

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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.