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Finding the Fourth Proportional to 9,977.38, 13,773.24 and 6,442.34

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Solution

The fourth proportional to 9,977.38, 13,773.24 and 6,442.34 is: 8,893.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,977.38 : 13,773.24 = 6,442.34 : x
  2. Step 2: Convert to fraction form
    9,977.38/13,773.24 = 6,442.34/x
  3. Step 3: Cross multiply
    9,977.38x = 13,773.24 × 6,442.34
  4. Step 4: Simplify right side
    9,977.38x = 88,731,826.12
  5. Step 5: Solve for x
    x = 88,731,826.12/9,977.38
  6. Step 6: Final answer
    x = 8,893.30

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Why These Related Problems?

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