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Finding the Fourth Proportional to 9,462.42, 14,179.04 and 5,992.38

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Solution

The fourth proportional to 9,462.42, 14,179.04 and 5,992.38 is: 8,979.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.42 : 14,179.04 = 5,992.38 : x
  2. Step 2: Convert to fraction form
    9,462.42/14,179.04 = 5,992.38/x
  3. Step 3: Cross multiply
    9,462.42x = 14,179.04 × 5,992.38
  4. Step 4: Simplify right side
    9,462.42x = 84,966,094.86
  5. Step 5: Solve for x
    x = 84,966,094.86/9,462.42
  6. Step 6: Final answer
    x = 8,979.32

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