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Finding the Fourth Proportional to 9,385.17, 14,077.74 and 3,144

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Solution

The fourth proportional to 9,385.17, 14,077.74 and 3,144 is: 4,715.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,385.17 : 14,077.74 = 3,144 : x
  2. Step 2: Convert to fraction form
    9,385.17/14,077.74 = 3,144/x
  3. Step 3: Cross multiply
    9,385.17x = 14,077.74 × 3,144
  4. Step 4: Simplify right side
    9,385.17x = 44,260,414.56
  5. Step 5: Solve for x
    x = 44,260,414.56/9,385.17
  6. Step 6: Final answer
    x = 4,715.99

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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.