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Finding the Fourth Proportional to 9,478.69, 14,217.91 and 4,284.56

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Solution

The fourth proportional to 9,478.69, 14,217.91 and 4,284.56 is: 6,426.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,478.69 : 14,217.91 = 4,284.56 : x
  2. Step 2: Convert to fraction form
    9,478.69/14,217.91 = 4,284.56/x
  3. Step 3: Cross multiply
    9,478.69x = 14,217.91 × 4,284.56
  4. Step 4: Simplify right side
    9,478.69x = 60,917,488.47
  5. Step 5: Solve for x
    x = 60,917,488.47/9,478.69
  6. Step 6: Final answer
    x = 6,426.78

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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.