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Finding the Fourth Proportional to 6,102.60, 9,153.90 and 2,814.72

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Solution

The fourth proportional to 6,102.60, 9,153.90 and 2,814.72 is: 4,222.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.60 : 9,153.90 = 2,814.72 : x
  2. Step 2: Convert to fraction form
    6,102.60/9,153.90 = 2,814.72/x
  3. Step 3: Cross multiply
    6,102.60x = 9,153.90 × 2,814.72
  4. Step 4: Simplify right side
    6,102.60x = 25,765,665.41
  5. Step 5: Solve for x
    x = 25,765,665.41/6,102.60
  6. Step 6: Final answer
    x = 4,222.08

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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.