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Finding the Fourth Proportional to 9,384, 14,080.86 and 4,767

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Solution

The fourth proportional to 9,384, 14,080.86 and 4,767 is: 7,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384 : 14,080.86 = 4,767 : x
  2. Step 2: Convert to fraction form
    9,384/14,080.86 = 4,767/x
  3. Step 3: Cross multiply
    9,384x = 14,080.86 × 4,767
  4. Step 4: Simplify right side
    9,384x = 67,123,459.62
  5. Step 5: Solve for x
    x = 67,123,459.62/9,384
  6. Step 6: Final answer
    x = 7,152.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.