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Finding the Fourth Proportional to 8,438.54, 11,646.33 and 6,339.02

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Solution

The fourth proportional to 8,438.54, 11,646.33 and 6,339.02 is: 8,748.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.54 : 11,646.33 = 6,339.02 : x
  2. Step 2: Convert to fraction form
    8,438.54/11,646.33 = 6,339.02/x
  3. Step 3: Cross multiply
    8,438.54x = 11,646.33 × 6,339.02
  4. Step 4: Simplify right side
    8,438.54x = 73,826,318.80
  5. Step 5: Solve for x
    x = 73,826,318.80/8,438.54
  6. Step 6: Final answer
    x = 8,748.71

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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.