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Finding the Fourth Proportional to 8,069.84, 12,093.40 and 6,419.04

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Solution

The fourth proportional to 8,069.84, 12,093.40 and 6,419.04 is: 9,619.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.84 : 12,093.40 = 6,419.04 : x
  2. Step 2: Convert to fraction form
    8,069.84/12,093.40 = 6,419.04/x
  3. Step 3: Cross multiply
    8,069.84x = 12,093.40 × 6,419.04
  4. Step 4: Simplify right side
    8,069.84x = 77,628,018.34
  5. Step 5: Solve for x
    x = 77,628,018.34/8,069.84
  6. Step 6: Final answer
    x = 9,619.52

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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.