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Finding the Fourth Proportional to 9,326.64, 12,864.24 and 6,337.31

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Solution

The fourth proportional to 9,326.64, 12,864.24 and 6,337.31 is: 8,741.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,326.64 : 12,864.24 = 6,337.31 : x
  2. Step 2: Convert to fraction form
    9,326.64/12,864.24 = 6,337.31/x
  3. Step 3: Cross multiply
    9,326.64x = 12,864.24 × 6,337.31
  4. Step 4: Simplify right side
    9,326.64x = 81,524,612.47
  5. Step 5: Solve for x
    x = 81,524,612.47/9,326.64
  6. Step 6: Final answer
    x = 8,741.05

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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.