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Finding the Fourth Proportional to 6,098.16, 9,140.82 and 3,462.36

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Solution

The fourth proportional to 6,098.16, 9,140.82 and 3,462.36 is: 5,189.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.16 : 9,140.82 = 3,462.36 : x
  2. Step 2: Convert to fraction form
    6,098.16/9,140.82 = 3,462.36/x
  3. Step 3: Cross multiply
    6,098.16x = 9,140.82 × 3,462.36
  4. Step 4: Simplify right side
    6,098.16x = 31,648,809.54
  5. Step 5: Solve for x
    x = 31,648,809.54/6,098.16
  6. Step 6: Final answer
    x = 5,189.89

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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.