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Finding the Fourth Proportional to 9,755.37, 14,635.76 and 3,180.74

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Solution

The fourth proportional to 9,755.37, 14,635.76 and 3,180.74 is: 4,771.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,755.37 : 14,635.76 = 3,180.74 : x
  2. Step 2: Convert to fraction form
    9,755.37/14,635.76 = 3,180.74/x
  3. Step 3: Cross multiply
    9,755.37x = 14,635.76 × 3,180.74
  4. Step 4: Simplify right side
    9,755.37x = 46,552,458.18
  5. Step 5: Solve for x
    x = 46,552,458.18/9,755.37
  6. Step 6: Final answer
    x = 4,771.98

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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.