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Finding the Fourth Proportional to 9,623.64, 14,402.64 and 5,928.42

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Solution

The fourth proportional to 9,623.64, 14,402.64 and 5,928.42 is: 8,872.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.64 : 14,402.64 = 5,928.42 : x
  2. Step 2: Convert to fraction form
    9,623.64/14,402.64 = 5,928.42/x
  3. Step 3: Cross multiply
    9,623.64x = 14,402.64 × 5,928.42
  4. Step 4: Simplify right side
    9,623.64x = 85,384,899.03
  5. Step 5: Solve for x
    x = 85,384,899.03/9,623.64
  6. Step 6: Final answer
    x = 8,872.41

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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.