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Finding the Fourth Proportional to 9,145.35, 13,715.97 and 5,448.63

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Solution

The fourth proportional to 9,145.35, 13,715.97 and 5,448.63 is: 8,171.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,145.35 : 13,715.97 = 5,448.63 : x
  2. Step 2: Convert to fraction form
    9,145.35/13,715.97 = 5,448.63/x
  3. Step 3: Cross multiply
    9,145.35x = 13,715.97 × 5,448.63
  4. Step 4: Simplify right side
    9,145.35x = 74,733,245.62
  5. Step 5: Solve for x
    x = 74,733,245.62/9,145.35
  6. Step 6: Final answer
    x = 8,171.72

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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.