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Finding the Fourth Proportional to 9,102.70, 13,657.33 and 3,180.45

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Solution

The fourth proportional to 9,102.70, 13,657.33 and 3,180.45 is: 4,771.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,102.70 : 13,657.33 = 3,180.45 : x
  2. Step 2: Convert to fraction form
    9,102.70/13,657.33 = 3,180.45/x
  3. Step 3: Cross multiply
    9,102.70x = 13,657.33 × 3,180.45
  4. Step 4: Simplify right side
    9,102.70x = 43,436,455.20
  5. Step 5: Solve for x
    x = 43,436,455.20/9,102.70
  6. Step 6: Final answer
    x = 4,771.82

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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.