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Finding the Fourth Proportional to 9,077.96, 13,607.32 and 5,174

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Solution

The fourth proportional to 9,077.96, 13,607.32 and 5,174 is: 7,755.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,077.96 : 13,607.32 = 5,174 : x
  2. Step 2: Convert to fraction form
    9,077.96/13,607.32 = 5,174/x
  3. Step 3: Cross multiply
    9,077.96x = 13,607.32 × 5,174
  4. Step 4: Simplify right side
    9,077.96x = 70,404,273.68
  5. Step 5: Solve for x
    x = 70,404,273.68/9,077.96
  6. Step 6: Final answer
    x = 7,755.52

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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.