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Finding the Fourth Proportional to 9,731.29, 13,400.90 and 8,454.58

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Solution

The fourth proportional to 9,731.29, 13,400.90 and 8,454.58 is: 11,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,731.29 : 13,400.90 = 8,454.58 : x
  2. Step 2: Convert to fraction form
    9,731.29/13,400.90 = 8,454.58/x
  3. Step 3: Cross multiply
    9,731.29x = 13,400.90 × 8,454.58
  4. Step 4: Simplify right side
    9,731.29x = 113,298,905.35
  5. Step 5: Solve for x
    x = 113,298,905.35/9,731.29
  6. Step 6: Final answer
    x = 11,642.75

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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.