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Finding the Fourth Proportional to 9,418.32, 12,997.80 and 5,642.64

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Solution

The fourth proportional to 9,418.32, 12,997.80 and 5,642.64 is: 7,787.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,418.32 : 12,997.80 = 5,642.64 : x
  2. Step 2: Convert to fraction form
    9,418.32/12,997.80 = 5,642.64/x
  3. Step 3: Cross multiply
    9,418.32x = 12,997.80 × 5,642.64
  4. Step 4: Simplify right side
    9,418.32x = 73,341,906.19
  5. Step 5: Solve for x
    x = 73,341,906.19/9,418.32
  6. Step 6: Final answer
    x = 7,787.15

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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.