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Finding the Fourth Proportional to 9,409.49, 12,984.39 and 5,159.87

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Solution

The fourth proportional to 9,409.49, 12,984.39 and 5,159.87 is: 7,120.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.49 : 12,984.39 = 5,159.87 : x
  2. Step 2: Convert to fraction form
    9,409.49/12,984.39 = 5,159.87/x
  3. Step 3: Cross multiply
    9,409.49x = 12,984.39 × 5,159.87
  4. Step 4: Simplify right side
    9,409.49x = 66,997,764.43
  5. Step 5: Solve for x
    x = 66,997,764.43/9,409.49
  6. Step 6: Final answer
    x = 7,120.23

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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.