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Finding the Fourth Proportional to 6,184.46, 9,256.62 and 4,540.64

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Solution

The fourth proportional to 6,184.46, 9,256.62 and 4,540.64 is: 6,796.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,184.46 : 9,256.62 = 4,540.64 : x
  2. Step 2: Convert to fraction form
    6,184.46/9,256.62 = 4,540.64/x
  3. Step 3: Cross multiply
    6,184.46x = 9,256.62 × 4,540.64
  4. Step 4: Simplify right side
    6,184.46x = 42,030,979.04
  5. Step 5: Solve for x
    x = 42,030,979.04/6,184.46
  6. Step 6: Final answer
    x = 6,796.22

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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.