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Finding the Fourth Proportional to 9,455.56, 14,192.09 and 4,778.86

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Solution

The fourth proportional to 9,455.56, 14,192.09 and 4,778.86 is: 7,172.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,455.56 : 14,192.09 = 4,778.86 : x
  2. Step 2: Convert to fraction form
    9,455.56/14,192.09 = 4,778.86/x
  3. Step 3: Cross multiply
    9,455.56x = 14,192.09 × 4,778.86
  4. Step 4: Simplify right side
    9,455.56x = 67,822,011.22
  5. Step 5: Solve for x
    x = 67,822,011.22/9,455.56
  6. Step 6: Final answer
    x = 7,172.71

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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.