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Finding the Fourth Proportional to 9,584.48, 14,381.58 and 6,819.14

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Solution

The fourth proportional to 9,584.48, 14,381.58 and 6,819.14 is: 10,232.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,584.48 : 14,381.58 = 6,819.14 : x
  2. Step 2: Convert to fraction form
    9,584.48/14,381.58 = 6,819.14/x
  3. Step 3: Cross multiply
    9,584.48x = 14,381.58 × 6,819.14
  4. Step 4: Simplify right side
    9,584.48x = 98,070,007.44
  5. Step 5: Solve for x
    x = 98,070,007.44/9,584.48
  6. Step 6: Final answer
    x = 10,232.17

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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.