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Finding the Fourth Proportional to 6,454.08, 9,662.76 and 4,256.10

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Solution

The fourth proportional to 6,454.08, 9,662.76 and 4,256.10 is: 6,372.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,454.08 : 9,662.76 = 4,256.10 : x
  2. Step 2: Convert to fraction form
    6,454.08/9,662.76 = 4,256.10/x
  3. Step 3: Cross multiply
    6,454.08x = 9,662.76 × 4,256.10
  4. Step 4: Simplify right side
    6,454.08x = 41,125,672.84
  5. Step 5: Solve for x
    x = 41,125,672.84/6,454.08
  6. Step 6: Final answer
    x = 6,372.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.