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Finding the Fourth Proportional to 9,157.76, 12,638.96 and 5,180.48

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Solution

The fourth proportional to 9,157.76, 12,638.96 and 5,180.48 is: 7,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,157.76 : 12,638.96 = 5,180.48 : x
  2. Step 2: Convert to fraction form
    9,157.76/12,638.96 = 5,180.48/x
  3. Step 3: Cross multiply
    9,157.76x = 12,638.96 × 5,180.48
  4. Step 4: Simplify right side
    9,157.76x = 65,475,879.50
  5. Step 5: Solve for x
    x = 65,475,879.50/9,157.76
  6. Step 6: Final answer
    x = 7,149.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.