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Finding the Fourth Proportional to 6,142.74, 9,210.42 and 2,445.54

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Solution

The fourth proportional to 6,142.74, 9,210.42 and 2,445.54 is: 3,666.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.74 : 9,210.42 = 2,445.54 : x
  2. Step 2: Convert to fraction form
    6,142.74/9,210.42 = 2,445.54/x
  3. Step 3: Cross multiply
    6,142.74x = 9,210.42 × 2,445.54
  4. Step 4: Simplify right side
    6,142.74x = 22,524,450.53
  5. Step 5: Solve for x
    x = 22,524,450.53/6,142.74
  6. Step 6: Final answer
    x = 3,666.84

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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.