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Finding the Fourth Proportional to 5,984.06, 8,962.16 and 5,776.43

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Solution

The fourth proportional to 5,984.06, 8,962.16 and 5,776.43 is: 8,651.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.06 : 8,962.16 = 5,776.43 : x
  2. Step 2: Convert to fraction form
    5,984.06/8,962.16 = 5,776.43/x
  3. Step 3: Cross multiply
    5,984.06x = 8,962.16 × 5,776.43
  4. Step 4: Simplify right side
    5,984.06x = 51,769,216.20
  5. Step 5: Solve for x
    x = 51,769,216.20/5,984.06
  6. Step 6: Final answer
    x = 8,651.19

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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.