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Finding the Fourth Proportional to 9,671.63, 14,505.15 and 5,456.69

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Solution

The fourth proportional to 9,671.63, 14,505.15 and 5,456.69 is: 8,183.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.63 : 14,505.15 = 5,456.69 : x
  2. Step 2: Convert to fraction form
    9,671.63/14,505.15 = 5,456.69/x
  3. Step 3: Cross multiply
    9,671.63x = 14,505.15 × 5,456.69
  4. Step 4: Simplify right side
    9,671.63x = 79,150,106.95
  5. Step 5: Solve for x
    x = 79,150,106.95/9,671.63
  6. Step 6: Final answer
    x = 8,183.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.