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Finding the Fourth Proportional to 6,117.53, 9,159.89 and 3,189.68

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Solution

The fourth proportional to 6,117.53, 9,159.89 and 3,189.68 is: 4,775.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,117.53 : 9,159.89 = 3,189.68 : x
  2. Step 2: Convert to fraction form
    6,117.53/9,159.89 = 3,189.68/x
  3. Step 3: Cross multiply
    6,117.53x = 9,159.89 × 3,189.68
  4. Step 4: Simplify right side
    6,117.53x = 29,217,090.54
  5. Step 5: Solve for x
    x = 29,217,090.54/6,117.53
  6. Step 6: Final answer
    x = 4,775.97

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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.