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Finding the Fourth Proportional to 9,671.04, 14,506.44 and 3,828.96

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Solution

The fourth proportional to 9,671.04, 14,506.44 and 3,828.96 is: 5,743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,671.04 : 14,506.44 = 3,828.96 : x
  2. Step 2: Convert to fraction form
    9,671.04/14,506.44 = 3,828.96/x
  3. Step 3: Cross multiply
    9,671.04x = 14,506.44 × 3,828.96
  4. Step 4: Simplify right side
    9,671.04x = 55,544,578.50
  5. Step 5: Solve for x
    x = 55,544,578.50/9,671.04
  6. Step 6: Final answer
    x = 5,743.39

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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.