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Finding the Fourth Proportional to 9,420.31, 13,000.23 and 5,647.44

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Solution

The fourth proportional to 9,420.31, 13,000.23 and 5,647.44 is: 7,793.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,420.31 : 13,000.23 = 5,647.44 : x
  2. Step 2: Convert to fraction form
    9,420.31/13,000.23 = 5,647.44/x
  3. Step 3: Cross multiply
    9,420.31x = 13,000.23 × 5,647.44
  4. Step 4: Simplify right side
    9,420.31x = 73,418,018.91
  5. Step 5: Solve for x
    x = 73,418,018.91/9,420.31
  6. Step 6: Final answer
    x = 7,793.59

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