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Finding the Fourth Proportional to 9,678.41, 13,359.05 and 6,321.73

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Solution

The fourth proportional to 9,678.41, 13,359.05 and 6,321.73 is: 8,725.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,678.41 : 13,359.05 = 6,321.73 : x
  2. Step 2: Convert to fraction form
    9,678.41/13,359.05 = 6,321.73/x
  3. Step 3: Cross multiply
    9,678.41x = 13,359.05 × 6,321.73
  4. Step 4: Simplify right side
    9,678.41x = 84,452,307.16
  5. Step 5: Solve for x
    x = 84,452,307.16/9,678.41
  6. Step 6: Final answer
    x = 8,725.85

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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.