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Finding the Fourth Proportional to 9,369.72, 12,936.24 and 6,013.98

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Solution

The fourth proportional to 9,369.72, 12,936.24 and 6,013.98 is: 8,303.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,369.72 : 12,936.24 = 6,013.98 : x
  2. Step 2: Convert to fraction form
    9,369.72/12,936.24 = 6,013.98/x
  3. Step 3: Cross multiply
    9,369.72x = 12,936.24 × 6,013.98
  4. Step 4: Simplify right side
    9,369.72x = 77,798,288.64
  5. Step 5: Solve for x
    x = 77,798,288.64/9,369.72
  6. Step 6: Final answer
    x = 8,303.16

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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.