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Finding the Fourth Proportional to 9,504.39, 14,251.73 and 5,064.56

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Solution

The fourth proportional to 9,504.39, 14,251.73 and 5,064.56 is: 7,594.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,504.39 : 14,251.73 = 5,064.56 : x
  2. Step 2: Convert to fraction form
    9,504.39/14,251.73 = 5,064.56/x
  3. Step 3: Cross multiply
    9,504.39x = 14,251.73 × 5,064.56
  4. Step 4: Simplify right side
    9,504.39x = 72,178,645.11
  5. Step 5: Solve for x
    x = 72,178,645.11/9,504.39
  6. Step 6: Final answer
    x = 7,594.24

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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.