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Finding the Fourth Proportional to 9,640.89, 14,465.43 and 4,095.42

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Solution

The fourth proportional to 9,640.89, 14,465.43 and 4,095.42 is: 6,144.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,640.89 : 14,465.43 = 4,095.42 : x
  2. Step 2: Convert to fraction form
    9,640.89/14,465.43 = 4,095.42/x
  3. Step 3: Cross multiply
    9,640.89x = 14,465.43 × 4,095.42
  4. Step 4: Simplify right side
    9,640.89x = 59,242,011.33
  5. Step 5: Solve for x
    x = 59,242,011.33/9,640.89
  6. Step 6: Final answer
    x = 6,144.87

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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.