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Finding the Fourth Proportional to 9,425.49, 14,143.10 and 3,882.93

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Solution

The fourth proportional to 9,425.49, 14,143.10 and 3,882.93 is: 5,826.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,425.49 : 14,143.10 = 3,882.93 : x
  2. Step 2: Convert to fraction form
    9,425.49/14,143.10 = 3,882.93/x
  3. Step 3: Cross multiply
    9,425.49x = 14,143.10 × 3,882.93
  4. Step 4: Simplify right side
    9,425.49x = 54,916,667.28
  5. Step 5: Solve for x
    x = 54,916,667.28/9,425.49
  6. Step 6: Final answer
    x = 5,826.40

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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.