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Finding the Fourth Proportional to 6,098.29, 9,136.65 and 2,804.47

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Solution

The fourth proportional to 6,098.29, 9,136.65 and 2,804.47 is: 4,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.29 : 9,136.65 = 2,804.47 : x
  2. Step 2: Convert to fraction form
    6,098.29/9,136.65 = 2,804.47/x
  3. Step 3: Cross multiply
    6,098.29x = 9,136.65 × 2,804.47
  4. Step 4: Simplify right side
    6,098.29x = 25,623,460.83
  5. Step 5: Solve for x
    x = 25,623,460.83/6,098.29
  6. Step 6: Final answer
    x = 4,201.75

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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.