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Finding the Fourth Proportional to 9,685.57, 14,529.02 and 4,138.90

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Solution

The fourth proportional to 9,685.57, 14,529.02 and 4,138.90 is: 6,208.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,685.57 : 14,529.02 = 4,138.90 : x
  2. Step 2: Convert to fraction form
    9,685.57/14,529.02 = 4,138.90/x
  3. Step 3: Cross multiply
    9,685.57x = 14,529.02 × 4,138.90
  4. Step 4: Simplify right side
    9,685.57x = 60,134,160.88
  5. Step 5: Solve for x
    x = 60,134,160.88/9,685.57
  6. Step 6: Final answer
    x = 6,208.63

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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.