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Finding the Fourth Proportional to 9,476.69, 14,214.92 and 4,282.56

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Solution

The fourth proportional to 9,476.69, 14,214.92 and 4,282.56 is: 6,423.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,476.69 : 14,214.92 = 4,282.56 : x
  2. Step 2: Convert to fraction form
    9,476.69/14,214.92 = 4,282.56/x
  3. Step 3: Cross multiply
    9,476.69x = 14,214.92 × 4,282.56
  4. Step 4: Simplify right side
    9,476.69x = 60,876,226.38
  5. Step 5: Solve for x
    x = 60,876,226.38/9,476.69
  6. Step 6: Final answer
    x = 6,423.79

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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.