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Finding the Fourth Proportional to 6,936.89, 9,570.64 and 4,245.30

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Solution

The fourth proportional to 6,936.89, 9,570.64 and 4,245.30 is: 5,857.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,936.89 : 9,570.64 = 4,245.30 : x
  2. Step 2: Convert to fraction form
    6,936.89/9,570.64 = 4,245.30/x
  3. Step 3: Cross multiply
    6,936.89x = 9,570.64 × 4,245.30
  4. Step 4: Simplify right side
    6,936.89x = 40,630,224.16
  5. Step 5: Solve for x
    x = 40,630,224.16/6,936.89
  6. Step 6: Final answer
    x = 5,857.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.