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Finding the Fourth Proportional to 9,218.64, 12,738.41 and 6,561.44

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Solution

The fourth proportional to 9,218.64, 12,738.41 and 6,561.44 is: 9,066.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,218.64 : 12,738.41 = 6,561.44 : x
  2. Step 2: Convert to fraction form
    9,218.64/12,738.41 = 6,561.44/x
  3. Step 3: Cross multiply
    9,218.64x = 12,738.41 × 6,561.44
  4. Step 4: Simplify right side
    9,218.64x = 83,582,216.41
  5. Step 5: Solve for x
    x = 83,582,216.41/9,218.64
  6. Step 6: Final answer
    x = 9,066.65

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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.