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Finding the Fourth Proportional to 9,508.49, 13,121.81 and 5,259.34

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Solution

The fourth proportional to 9,508.49, 13,121.81 and 5,259.34 is: 7,257.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,508.49 : 13,121.81 = 5,259.34 : x
  2. Step 2: Convert to fraction form
    9,508.49/13,121.81 = 5,259.34/x
  3. Step 3: Cross multiply
    9,508.49x = 13,121.81 × 5,259.34
  4. Step 4: Simplify right side
    9,508.49x = 69,012,060.21
  5. Step 5: Solve for x
    x = 69,012,060.21/9,508.49
  6. Step 6: Final answer
    x = 7,257.94

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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.