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Finding the Fourth Proportional to 9,213.21, 12,710.62 and 5,670.27

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Solution

The fourth proportional to 9,213.21, 12,710.62 and 5,670.27 is: 7,822.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.21 : 12,710.62 = 5,670.27 : x
  2. Step 2: Convert to fraction form
    9,213.21/12,710.62 = 5,670.27/x
  3. Step 3: Cross multiply
    9,213.21x = 12,710.62 × 5,670.27
  4. Step 4: Simplify right side
    9,213.21x = 72,072,654.36
  5. Step 5: Solve for x
    x = 72,072,654.36/9,213.21
  6. Step 6: Final answer
    x = 7,822.75

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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.