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Finding the Fourth Proportional to 9,400.86, 14,102.51 and 3,158.19

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Solution

The fourth proportional to 9,400.86, 14,102.51 and 3,158.19 is: 4,737.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,400.86 : 14,102.51 = 3,158.19 : x
  2. Step 2: Convert to fraction form
    9,400.86/14,102.51 = 3,158.19/x
  3. Step 3: Cross multiply
    9,400.86x = 14,102.51 × 3,158.19
  4. Step 4: Simplify right side
    9,400.86x = 44,538,390.27
  5. Step 5: Solve for x
    x = 44,538,390.27/9,400.86
  6. Step 6: Final answer
    x = 4,737.69

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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.