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Finding the Fourth Proportional to 9,400.62, 14,102.14 and 3,157.94

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Solution

The fourth proportional to 9,400.62, 14,102.14 and 3,157.94 is: 4,737.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.62 : 14,102.14 = 3,157.94 : x
  2. Step 2: Convert to fraction form
    9,400.62/14,102.14 = 3,157.94/x
  3. Step 3: Cross multiply
    9,400.62x = 14,102.14 × 3,157.94
  4. Step 4: Simplify right side
    9,400.62x = 44,533,711.99
  5. Step 5: Solve for x
    x = 44,533,711.99/9,400.62
  6. Step 6: Final answer
    x = 4,737.32

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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.