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Finding the Fourth Proportional to 9,325.29, 13,978.08 and 3,083.70

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Solution

The fourth proportional to 9,325.29, 13,978.08 and 3,083.70 is: 4,622.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.29 : 13,978.08 = 3,083.70 : x
  2. Step 2: Convert to fraction form
    9,325.29/13,978.08 = 3,083.70/x
  3. Step 3: Cross multiply
    9,325.29x = 13,978.08 × 3,083.70
  4. Step 4: Simplify right side
    9,325.29x = 43,104,205.30
  5. Step 5: Solve for x
    x = 43,104,205.30/9,325.29
  6. Step 6: Final answer
    x = 4,622.29

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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.