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Finding the Fourth Proportional to 9,076.40, 13,614.60 and 5,976.13

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Solution

The fourth proportional to 9,076.40, 13,614.60 and 5,976.13 is: 8,964.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.40 : 13,614.60 = 5,976.13 : x
  2. Step 2: Convert to fraction form
    9,076.40/13,614.60 = 5,976.13/x
  3. Step 3: Cross multiply
    9,076.40x = 13,614.60 × 5,976.13
  4. Step 4: Simplify right side
    9,076.40x = 81,362,619.50
  5. Step 5: Solve for x
    x = 81,362,619.50/9,076.40
  6. Step 6: Final answer
    x = 8,964.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.