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Finding the Fourth Proportional to 9,380.63, 14,068 and 3,139.18

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Solution

The fourth proportional to 9,380.63, 14,068 and 3,139.18 is: 4,707.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,380.63 : 14,068 = 3,139.18 : x
  2. Step 2: Convert to fraction form
    9,380.63/14,068 = 3,139.18/x
  3. Step 3: Cross multiply
    9,380.63x = 14,068 × 3,139.18
  4. Step 4: Simplify right side
    9,380.63x = 44,161,949.07
  5. Step 5: Solve for x
    x = 44,161,949.07/9,380.63
  6. Step 6: Final answer
    x = 4,707.78

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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.