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Finding the Fourth Proportional to 9,672.48, 13,349.34 and 5,481

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Solution

The fourth proportional to 9,672.48, 13,349.34 and 5,481 is: 7,564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.48 : 13,349.34 = 5,481 : x
  2. Step 2: Convert to fraction form
    9,672.48/13,349.34 = 5,481/x
  3. Step 3: Cross multiply
    9,672.48x = 13,349.34 × 5,481
  4. Step 4: Simplify right side
    9,672.48x = 73,167,732.54
  5. Step 5: Solve for x
    x = 73,167,732.54/9,672.48
  6. Step 6: Final answer
    x = 7,564.53

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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.