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Finding the Fourth Proportional to 6,142.40, 9,215.03 and 1,759.74

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Solution

The fourth proportional to 6,142.40, 9,215.03 and 1,759.74 is: 2,640.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.40 : 9,215.03 = 1,759.74 : x
  2. Step 2: Convert to fraction form
    6,142.40/9,215.03 = 1,759.74/x
  3. Step 3: Cross multiply
    6,142.40x = 9,215.03 × 1,759.74
  4. Step 4: Simplify right side
    6,142.40x = 16,216,026.74
  5. Step 5: Solve for x
    x = 16,216,026.74/6,142.40
  6. Step 6: Final answer
    x = 2,640.02

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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.