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Finding the Fourth Proportional to 9,442.89, 14,166.01 and 3,893.20

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Solution

The fourth proportional to 9,442.89, 14,166.01 and 3,893.20 is: 5,840.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,442.89 : 14,166.01 = 3,893.20 : x
  2. Step 2: Convert to fraction form
    9,442.89/14,166.01 = 3,893.20/x
  3. Step 3: Cross multiply
    9,442.89x = 14,166.01 × 3,893.20
  4. Step 4: Simplify right side
    9,442.89x = 55,151,125.66
  5. Step 5: Solve for x
    x = 55,151,125.66/9,442.89
  6. Step 6: Final answer
    x = 5,840.50

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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.