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Finding the Fourth Proportional to 9,405.47, 12,968.90 and 5,997.93

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Solution

The fourth proportional to 9,405.47, 12,968.90 and 5,997.93 is: 8,270.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,405.47 : 12,968.90 = 5,997.93 : x
  2. Step 2: Convert to fraction form
    9,405.47/12,968.90 = 5,997.93/x
  3. Step 3: Cross multiply
    9,405.47x = 12,968.90 × 5,997.93
  4. Step 4: Simplify right side
    9,405.47x = 77,786,554.38
  5. Step 5: Solve for x
    x = 77,786,554.38/9,405.47
  6. Step 6: Final answer
    x = 8,270.36

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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.