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Finding the Fourth Proportional to 9,578.14, 14,365.12 and 3,003.46

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Solution

The fourth proportional to 9,578.14, 14,365.12 and 3,003.46 is: 4,504.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.14 : 14,365.12 = 3,003.46 : x
  2. Step 2: Convert to fraction form
    9,578.14/14,365.12 = 3,003.46/x
  3. Step 3: Cross multiply
    9,578.14x = 14,365.12 × 3,003.46
  4. Step 4: Simplify right side
    9,578.14x = 43,145,063.32
  5. Step 5: Solve for x
    x = 43,145,063.32/9,578.14
  6. Step 6: Final answer
    x = 4,504.53

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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.