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Finding the Fourth Proportional to 6,354.43, 8,774.88 and 4,120.05

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Solution

The fourth proportional to 6,354.43, 8,774.88 and 4,120.05 is: 5,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,354.43 : 8,774.88 = 4,120.05 : x
  2. Step 2: Convert to fraction form
    6,354.43/8,774.88 = 4,120.05/x
  3. Step 3: Cross multiply
    6,354.43x = 8,774.88 × 4,120.05
  4. Step 4: Simplify right side
    6,354.43x = 36,152,944.34
  5. Step 5: Solve for x
    x = 36,152,944.34/6,354.43
  6. Step 6: Final answer
    x = 5,689.41

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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.