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Finding the Fourth Proportional to 9,578.94, 13,221.27 and 9,028.14

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Solution

The fourth proportional to 9,578.94, 13,221.27 and 9,028.14 is: 12,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,578.94 : 13,221.27 = 9,028.14 : x
  2. Step 2: Convert to fraction form
    9,578.94/13,221.27 = 9,028.14/x
  3. Step 3: Cross multiply
    9,578.94x = 13,221.27 × 9,028.14
  4. Step 4: Simplify right side
    9,578.94x = 119,363,476.54
  5. Step 5: Solve for x
    x = 119,363,476.54/9,578.94
  6. Step 6: Final answer
    x = 12,461.03

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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.