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Finding the Fourth Proportional to 10,028.34, 13,840.74 and 9,585.41

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Solution

The fourth proportional to 10,028.34, 13,840.74 and 9,585.41 is: 13,229.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.34 : 13,840.74 = 9,585.41 : x
  2. Step 2: Convert to fraction form
    10,028.34/13,840.74 = 9,585.41/x
  3. Step 3: Cross multiply
    10,028.34x = 13,840.74 × 9,585.41
  4. Step 4: Simplify right side
    10,028.34x = 132,669,098.40
  5. Step 5: Solve for x
    x = 132,669,098.40/10,028.34
  6. Step 6: Final answer
    x = 13,229.42

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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.