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Finding the Fourth Proportional to 9,672.06, 13,347.42 and 5,480.31

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Solution

The fourth proportional to 9,672.06, 13,347.42 and 5,480.31 is: 7,562.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,672.06 : 13,347.42 = 5,480.31 : x
  2. Step 2: Convert to fraction form
    9,672.06/13,347.42 = 5,480.31/x
  3. Step 3: Cross multiply
    9,672.06x = 13,347.42 × 5,480.31
  4. Step 4: Simplify right side
    9,672.06x = 73,147,999.30
  5. Step 5: Solve for x
    x = 73,147,999.30/9,672.06
  6. Step 6: Final answer
    x = 7,562.81

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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.