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Finding the Fourth Proportional to 9,462.89, 13,057.65 and 5,483.49

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Solution

The fourth proportional to 9,462.89, 13,057.65 and 5,483.49 is: 7,566.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.89 : 13,057.65 = 5,483.49 : x
  2. Step 2: Convert to fraction form
    9,462.89/13,057.65 = 5,483.49/x
  3. Step 3: Cross multiply
    9,462.89x = 13,057.65 × 5,483.49
  4. Step 4: Simplify right side
    9,462.89x = 71,601,493.20
  5. Step 5: Solve for x
    x = 71,601,493.20/9,462.89
  6. Step 6: Final answer
    x = 7,566.56

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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.