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Finding the Fourth Proportional to 9,399.72, 12,975.82 and 6,214.98

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Solution

The fourth proportional to 9,399.72, 12,975.82 and 6,214.98 is: 8,579.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,399.72 : 12,975.82 = 6,214.98 : x
  2. Step 2: Convert to fraction form
    9,399.72/12,975.82 = 6,214.98/x
  3. Step 3: Cross multiply
    9,399.72x = 12,975.82 × 6,214.98
  4. Step 4: Simplify right side
    9,399.72x = 80,644,461.78
  5. Step 5: Solve for x
    x = 80,644,461.78/9,399.72
  6. Step 6: Final answer
    x = 8,579.45

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