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Finding the Fourth Proportional to 6,665.84, 9,197.16 and 4,537.52

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Solution

The fourth proportional to 6,665.84, 9,197.16 and 4,537.52 is: 6,260.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.84 : 9,197.16 = 4,537.52 : x
  2. Step 2: Convert to fraction form
    6,665.84/9,197.16 = 4,537.52/x
  3. Step 3: Cross multiply
    6,665.84x = 9,197.16 × 4,537.52
  4. Step 4: Simplify right side
    6,665.84x = 41,732,297.44
  5. Step 5: Solve for x
    x = 41,732,297.44/6,665.84
  6. Step 6: Final answer
    x = 6,260.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.