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Finding the Fourth Proportional to 6,102.51, 9,150.53 and 4,155.27

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Solution

The fourth proportional to 6,102.51, 9,150.53 and 4,155.27 is: 6,230.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.51 : 9,150.53 = 4,155.27 : x
  2. Step 2: Convert to fraction form
    6,102.51/9,150.53 = 4,155.27/x
  3. Step 3: Cross multiply
    6,102.51x = 9,150.53 × 4,155.27
  4. Step 4: Simplify right side
    6,102.51x = 38,022,902.02
  5. Step 5: Solve for x
    x = 38,022,902.02/6,102.51
  6. Step 6: Final answer
    x = 6,230.70

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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.