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Finding the Fourth Proportional to 9,405.02, 12,976.31 and 7,409.39

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Solution

The fourth proportional to 9,405.02, 12,976.31 and 7,409.39 is: 10,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.02 : 12,976.31 = 7,409.39 : x
  2. Step 2: Convert to fraction form
    9,405.02/12,976.31 = 7,409.39/x
  3. Step 3: Cross multiply
    9,405.02x = 12,976.31 × 7,409.39
  4. Step 4: Simplify right side
    9,405.02x = 96,146,439.62
  5. Step 5: Solve for x
    x = 96,146,439.62/9,405.02
  6. Step 6: Final answer
    x = 10,222.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.