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Finding the Fourth Proportional to 6,671.41, 9,206.29 and 4,314.89

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Solution

The fourth proportional to 6,671.41, 9,206.29 and 4,314.89 is: 5,954.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,671.41 : 9,206.29 = 4,314.89 : x
  2. Step 2: Convert to fraction form
    6,671.41/9,206.29 = 4,314.89/x
  3. Step 3: Cross multiply
    6,671.41x = 9,206.29 × 4,314.89
  4. Step 4: Simplify right side
    6,671.41x = 39,724,128.66
  5. Step 5: Solve for x
    x = 39,724,128.66/6,671.41
  6. Step 6: Final answer
    x = 5,954.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.