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Finding the Fourth Proportional to 6,172.61, 9,265.49 and 5,016.58

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Solution

The fourth proportional to 6,172.61, 9,265.49 and 5,016.58 is: 7,530.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,172.61 : 9,265.49 = 5,016.58 : x
  2. Step 2: Convert to fraction form
    6,172.61/9,265.49 = 5,016.58/x
  3. Step 3: Cross multiply
    6,172.61x = 9,265.49 × 5,016.58
  4. Step 4: Simplify right side
    6,172.61x = 46,481,071.82
  5. Step 5: Solve for x
    x = 46,481,071.82/6,172.61
  6. Step 6: Final answer
    x = 7,530.21

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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.