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Finding the Fourth Proportional to 6,388.96, 9,584.88 and 4,540.72

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Solution

The fourth proportional to 6,388.96, 9,584.88 and 4,540.72 is: 6,812.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.96 : 9,584.88 = 4,540.72 : x
  2. Step 2: Convert to fraction form
    6,388.96/9,584.88 = 4,540.72/x
  3. Step 3: Cross multiply
    6,388.96x = 9,584.88 × 4,540.72
  4. Step 4: Simplify right side
    6,388.96x = 43,522,256.31
  5. Step 5: Solve for x
    x = 43,522,256.31/6,388.96
  6. Step 6: Final answer
    x = 6,812.10

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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.