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Finding the Fourth Proportional to 9,884.34, 13,640.09 and 5,407.99

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Solution

The fourth proportional to 9,884.34, 13,640.09 and 5,407.99 is: 7,462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,884.34 : 13,640.09 = 5,407.99 : x
  2. Step 2: Convert to fraction form
    9,884.34/13,640.09 = 5,407.99/x
  3. Step 3: Cross multiply
    9,884.34x = 13,640.09 × 5,407.99
  4. Step 4: Simplify right side
    9,884.34x = 73,765,409.18
  5. Step 5: Solve for x
    x = 73,765,409.18/9,884.34
  6. Step 6: Final answer
    x = 7,462.86

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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.