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Finding the Fourth Proportional to 6,389.72, 9,580.62 and 3,618.26

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Solution

The fourth proportional to 6,389.72, 9,580.62 and 3,618.26 is: 5,425.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,389.72 : 9,580.62 = 3,618.26 : x
  2. Step 2: Convert to fraction form
    6,389.72/9,580.62 = 3,618.26/x
  3. Step 3: Cross multiply
    6,389.72x = 9,580.62 × 3,618.26
  4. Step 4: Simplify right side
    6,389.72x = 34,665,174.12
  5. Step 5: Solve for x
    x = 34,665,174.12/6,389.72
  6. Step 6: Final answer
    x = 5,425.15

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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.