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Finding the Fourth Proportional to 9,500.34, 14,242.83 and 3,957.86

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Solution

The fourth proportional to 9,500.34, 14,242.83 and 3,957.86 is: 5,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,500.34 : 14,242.83 = 3,957.86 : x
  2. Step 2: Convert to fraction form
    9,500.34/14,242.83 = 3,957.86/x
  3. Step 3: Cross multiply
    9,500.34x = 14,242.83 × 3,957.86
  4. Step 4: Simplify right side
    9,500.34x = 56,371,055.93
  5. Step 5: Solve for x
    x = 56,371,055.93/9,500.34
  6. Step 6: Final answer
    x = 5,933.58

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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.