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Finding the Fourth Proportional to 9,426.27, 14,148.64 and 9,382.42

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Solution

The fourth proportional to 9,426.27, 14,148.64 and 9,382.42 is: 14,082.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,426.27 : 14,148.64 = 9,382.42 : x
  2. Step 2: Convert to fraction form
    9,426.27/14,148.64 = 9,382.42/x
  3. Step 3: Cross multiply
    9,426.27x = 14,148.64 × 9,382.42
  4. Step 4: Simplify right side
    9,426.27x = 132,748,452.84
  5. Step 5: Solve for x
    x = 132,748,452.84/9,426.27
  6. Step 6: Final answer
    x = 14,082.81

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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.