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Finding the Fourth Proportional to 6,445.75, 9,671.48 and 4,105.14

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Solution

The fourth proportional to 6,445.75, 9,671.48 and 4,105.14 is: 6,159.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,445.75 : 9,671.48 = 4,105.14 : x
  2. Step 2: Convert to fraction form
    6,445.75/9,671.48 = 4,105.14/x
  3. Step 3: Cross multiply
    6,445.75x = 9,671.48 × 4,105.14
  4. Step 4: Simplify right side
    6,445.75x = 39,702,758.88
  5. Step 5: Solve for x
    x = 39,702,758.88/6,445.75
  6. Step 6: Final answer
    x = 6,159.53

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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.