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Finding the Fourth Proportional to 9,381.43, 14,074.64 and 2,807.68

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Solution

The fourth proportional to 9,381.43, 14,074.64 and 2,807.68 is: 4,212.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,381.43 : 14,074.64 = 2,807.68 : x
  2. Step 2: Convert to fraction form
    9,381.43/14,074.64 = 2,807.68/x
  3. Step 3: Cross multiply
    9,381.43x = 14,074.64 × 2,807.68
  4. Step 4: Simplify right side
    9,381.43x = 39,517,085.24
  5. Step 5: Solve for x
    x = 39,517,085.24/9,381.43
  6. Step 6: Final answer
    x = 4,212.27

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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.