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Finding the Fourth Proportional to 6,137.88, 9,209.04 and 3,017.56

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Solution

The fourth proportional to 6,137.88, 9,209.04 and 3,017.56 is: 4,527.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.88 : 9,209.04 = 3,017.56 : x
  2. Step 2: Convert to fraction form
    6,137.88/9,209.04 = 3,017.56/x
  3. Step 3: Cross multiply
    6,137.88x = 9,209.04 × 3,017.56
  4. Step 4: Simplify right side
    6,137.88x = 27,788,830.74
  5. Step 5: Solve for x
    x = 27,788,830.74/6,137.88
  6. Step 6: Final answer
    x = 4,527.43

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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.