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Finding the Fourth Proportional to 9,671, 14,502.39 and 3,432.58

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Solution

The fourth proportional to 9,671, 14,502.39 and 3,432.58 is: 5,147.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671 : 14,502.39 = 3,432.58 : x
  2. Step 2: Convert to fraction form
    9,671/14,502.39 = 3,432.58/x
  3. Step 3: Cross multiply
    9,671x = 14,502.39 × 3,432.58
  4. Step 4: Simplify right side
    9,671x = 49,780,613.87
  5. Step 5: Solve for x
    x = 49,780,613.87/9,671
  6. Step 6: Final answer
    x = 5,147.41

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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.