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Finding the Fourth Proportional to 6,159.63, 9,241.73 and 3,696.21

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Solution

The fourth proportional to 6,159.63, 9,241.73 and 3,696.21 is: 5,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,159.63 : 9,241.73 = 3,696.21 : x
  2. Step 2: Convert to fraction form
    6,159.63/9,241.73 = 3,696.21/x
  3. Step 3: Cross multiply
    6,159.63x = 9,241.73 × 3,696.21
  4. Step 4: Simplify right side
    6,159.63x = 34,159,374.84
  5. Step 5: Solve for x
    x = 34,159,374.84/6,159.63
  6. Step 6: Final answer
    x = 5,545.69

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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.