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Finding the Fourth Proportional to 9,671.64, 14,505.94 and 3,747.66

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Solution

The fourth proportional to 9,671.64, 14,505.94 and 3,747.66 is: 5,620.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.64 : 14,505.94 = 3,747.66 : x
  2. Step 2: Convert to fraction form
    9,671.64/14,505.94 = 3,747.66/x
  3. Step 3: Cross multiply
    9,671.64x = 14,505.94 × 3,747.66
  4. Step 4: Simplify right side
    9,671.64x = 54,363,331.10
  5. Step 5: Solve for x
    x = 54,363,331.10/9,671.64
  6. Step 6: Final answer
    x = 5,620.90

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Why These Related Problems?

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