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Finding the Fourth Proportional to 9,145.98, 12,619.98 and 5,166.99

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Solution

The fourth proportional to 9,145.98, 12,619.98 and 5,166.99 is: 7,129.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.98 : 12,619.98 = 5,166.99 : x
  2. Step 2: Convert to fraction form
    9,145.98/12,619.98 = 5,166.99/x
  3. Step 3: Cross multiply
    9,145.98x = 12,619.98 × 5,166.99
  4. Step 4: Simplify right side
    9,145.98x = 65,207,310.46
  5. Step 5: Solve for x
    x = 65,207,310.46/9,145.98
  6. Step 6: Final answer
    x = 7,129.61

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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.