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Finding the Fourth Proportional to 9,438.78, 13,025.79 and 5,461.14

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Solution

The fourth proportional to 9,438.78, 13,025.79 and 5,461.14 is: 7,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,438.78 : 13,025.79 = 5,461.14 : x
  2. Step 2: Convert to fraction form
    9,438.78/13,025.79 = 5,461.14/x
  3. Step 3: Cross multiply
    9,438.78x = 13,025.79 × 5,461.14
  4. Step 4: Simplify right side
    9,438.78x = 71,135,662.80
  5. Step 5: Solve for x
    x = 71,135,662.80/9,438.78
  6. Step 6: Final answer
    x = 7,536.53

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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.