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Finding the Fourth Proportional to 6,140.41, 9,215.78 and 2,445.19

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Solution

The fourth proportional to 6,140.41, 9,215.78 and 2,445.19 is: 3,669.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,140.41 : 9,215.78 = 2,445.19 : x
  2. Step 2: Convert to fraction form
    6,140.41/9,215.78 = 2,445.19/x
  3. Step 3: Cross multiply
    6,140.41x = 9,215.78 × 2,445.19
  4. Step 4: Simplify right side
    6,140.41x = 22,534,297.83
  5. Step 5: Solve for x
    x = 22,534,297.83/6,140.41
  6. Step 6: Final answer
    x = 3,669.84

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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.