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Finding the Fourth Proportional to 9,640.57, 14,445.06 and 6,170.53

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Solution

The fourth proportional to 9,640.57, 14,445.06 and 6,170.53 is: 9,245.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.57 : 14,445.06 = 6,170.53 : x
  2. Step 2: Convert to fraction form
    9,640.57/14,445.06 = 6,170.53/x
  3. Step 3: Cross multiply
    9,640.57x = 14,445.06 × 6,170.53
  4. Step 4: Simplify right side
    9,640.57x = 89,133,676.08
  5. Step 5: Solve for x
    x = 89,133,676.08/9,640.57
  6. Step 6: Final answer
    x = 9,245.69

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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.