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Finding the Fourth Proportional to 6,144.84, 9,205.92 and 4,759.74

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Solution

The fourth proportional to 6,144.84, 9,205.92 and 4,759.74 is: 7,130.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.84 : 9,205.92 = 4,759.74 : x
  2. Step 2: Convert to fraction form
    6,144.84/9,205.92 = 4,759.74/x
  3. Step 3: Cross multiply
    6,144.84x = 9,205.92 × 4,759.74
  4. Step 4: Simplify right side
    6,144.84x = 43,817,785.66
  5. Step 5: Solve for x
    x = 43,817,785.66/6,144.84
  6. Step 6: Final answer
    x = 7,130.83

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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.