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Finding the Fourth Proportional to 10,467.84, 14,451.96 and 6,934.08

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Solution

The fourth proportional to 10,467.84, 14,451.96 and 6,934.08 is: 9,573.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,467.84 : 14,451.96 = 6,934.08 : x
  2. Step 2: Convert to fraction form
    10,467.84/14,451.96 = 6,934.08/x
  3. Step 3: Cross multiply
    10,467.84x = 14,451.96 × 6,934.08
  4. Step 4: Simplify right side
    10,467.84x = 100,211,046.80
  5. Step 5: Solve for x
    x = 100,211,046.80/10,467.84
  6. Step 6: Final answer
    x = 9,573.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.