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Finding the Fourth Proportional to 6,135.47, 9,199.51 and 2,757.65

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Solution

The fourth proportional to 6,135.47, 9,199.51 and 2,757.65 is: 4,134.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,135.47 : 9,199.51 = 2,757.65 : x
  2. Step 2: Convert to fraction form
    6,135.47/9,199.51 = 2,757.65/x
  3. Step 3: Cross multiply
    6,135.47x = 9,199.51 × 2,757.65
  4. Step 4: Simplify right side
    6,135.47x = 25,369,009.49
  5. Step 5: Solve for x
    x = 25,369,009.49/6,135.47
  6. Step 6: Final answer
    x = 4,134.81

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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.