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Finding the Fourth Proportional to 9,349.34, 12,896.35 and 6,366.51

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Solution

The fourth proportional to 9,349.34, 12,896.35 and 6,366.51 is: 8,781.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,349.34 : 12,896.35 = 6,366.51 : x
  2. Step 2: Convert to fraction form
    9,349.34/12,896.35 = 6,366.51/x
  3. Step 3: Cross multiply
    9,349.34x = 12,896.35 × 6,366.51
  4. Step 4: Simplify right side
    9,349.34x = 82,104,725.32
  5. Step 5: Solve for x
    x = 82,104,725.32/9,349.34
  6. Step 6: Final answer
    x = 8,781.88

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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.