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Finding the Fourth Proportional to 9,325.54, 13,978.45 and 3,083.95

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Solution

The fourth proportional to 9,325.54, 13,978.45 and 3,083.95 is: 4,622.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,325.54 : 13,978.45 = 3,083.95 : x
  2. Step 2: Convert to fraction form
    9,325.54/13,978.45 = 3,083.95/x
  3. Step 3: Cross multiply
    9,325.54x = 13,978.45 × 3,083.95
  4. Step 4: Simplify right side
    9,325.54x = 43,108,840.88
  5. Step 5: Solve for x
    x = 43,108,840.88/9,325.54
  6. Step 6: Final answer
    x = 4,622.66

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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.