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Finding the Fourth Proportional to 9,606.92, 13,243.03 and 7,507.40

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Solution

The fourth proportional to 9,606.92, 13,243.03 and 7,507.40 is: 10,348.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,606.92 : 13,243.03 = 7,507.40 : x
  2. Step 2: Convert to fraction form
    9,606.92/13,243.03 = 7,507.40/x
  3. Step 3: Cross multiply
    9,606.92x = 13,243.03 × 7,507.40
  4. Step 4: Simplify right side
    9,606.92x = 99,420,638.44
  5. Step 5: Solve for x
    x = 99,420,638.44/9,606.92
  6. Step 6: Final answer
    x = 10,348.86

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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.