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Finding the Fourth Proportional to 9,196.18, 13,731.73 and 8,676.46

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Solution

The fourth proportional to 9,196.18, 13,731.73 and 8,676.46 is: 12,955.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,196.18 : 13,731.73 = 8,676.46 : x
  2. Step 2: Convert to fraction form
    9,196.18/13,731.73 = 8,676.46/x
  3. Step 3: Cross multiply
    9,196.18x = 13,731.73 × 8,676.46
  4. Step 4: Simplify right side
    9,196.18x = 119,142,801.55
  5. Step 5: Solve for x
    x = 119,142,801.55/9,196.18
  6. Step 6: Final answer
    x = 12,955.69

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.