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Finding the Fourth Proportional to 6,102.09, 9,156.48 and 2,815.53

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Solution

The fourth proportional to 6,102.09, 9,156.48 and 2,815.53 is: 4,224.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.09 : 9,156.48 = 2,815.53 : x
  2. Step 2: Convert to fraction form
    6,102.09/9,156.48 = 2,815.53/x
  3. Step 3: Cross multiply
    6,102.09x = 9,156.48 × 2,815.53
  4. Step 4: Simplify right side
    6,102.09x = 25,780,344.13
  5. Step 5: Solve for x
    x = 25,780,344.13/6,102.09
  6. Step 6: Final answer
    x = 4,224.84

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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.