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Finding the Fourth Proportional to 9,287.64, 12,818.72 and 5,752.44

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Solution

The fourth proportional to 9,287.64, 12,818.72 and 5,752.44 is: 7,939.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,287.64 : 12,818.72 = 5,752.44 : x
  2. Step 2: Convert to fraction form
    9,287.64/12,818.72 = 5,752.44/x
  3. Step 3: Cross multiply
    9,287.64x = 12,818.72 × 5,752.44
  4. Step 4: Simplify right side
    9,287.64x = 73,738,917.68
  5. Step 5: Solve for x
    x = 73,738,917.68/9,287.64
  6. Step 6: Final answer
    x = 7,939.47

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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.