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Finding the Fourth Proportional to 6,327.94, 9,492.16 and 2,378.80

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Solution

The fourth proportional to 6,327.94, 9,492.16 and 2,378.80 is: 3,568.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,327.94 : 9,492.16 = 2,378.80 : x
  2. Step 2: Convert to fraction form
    6,327.94/9,492.16 = 2,378.80/x
  3. Step 3: Cross multiply
    6,327.94x = 9,492.16 × 2,378.80
  4. Step 4: Simplify right side
    6,327.94x = 22,579,950.21
  5. Step 5: Solve for x
    x = 22,579,950.21/6,327.94
  6. Step 6: Final answer
    x = 3,568.29

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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.