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Finding the Fourth Proportional to 6,185.43, 9,284.22 and 4,537.28

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Solution

The fourth proportional to 6,185.43, 9,284.22 and 4,537.28 is: 6,810.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.43 : 9,284.22 = 4,537.28 : x
  2. Step 2: Convert to fraction form
    6,185.43/9,284.22 = 4,537.28/x
  3. Step 3: Cross multiply
    6,185.43x = 9,284.22 × 4,537.28
  4. Step 4: Simplify right side
    6,185.43x = 42,125,128.93
  5. Step 5: Solve for x
    x = 42,125,128.93/6,185.43
  6. Step 6: Final answer
    x = 6,810.38

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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.