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Finding the Fourth Proportional to 6,957.23, 9,602.79 and 4,303.09

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Solution

The fourth proportional to 6,957.23, 9,602.79 and 4,303.09 is: 5,939.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,957.23 : 9,602.79 = 4,303.09 : x
  2. Step 2: Convert to fraction form
    6,957.23/9,602.79 = 4,303.09/x
  3. Step 3: Cross multiply
    6,957.23x = 9,602.79 × 4,303.09
  4. Step 4: Simplify right side
    6,957.23x = 41,321,665.49
  5. Step 5: Solve for x
    x = 41,321,665.49/6,957.23
  6. Step 6: Final answer
    x = 5,939.39

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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.