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Finding the Fourth Proportional to 9,213.64, 12,714.86 and 5,236.08

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Solution

The fourth proportional to 9,213.64, 12,714.86 and 5,236.08 is: 7,225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,213.64 : 12,714.86 = 5,236.08 : x
  2. Step 2: Convert to fraction form
    9,213.64/12,714.86 = 5,236.08/x
  3. Step 3: Cross multiply
    9,213.64x = 12,714.86 × 5,236.08
  4. Step 4: Simplify right side
    9,213.64x = 66,576,024.15
  5. Step 5: Solve for x
    x = 66,576,024.15/9,213.64
  6. Step 6: Final answer
    x = 7,225.81

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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.