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Finding the Fourth Proportional to 6,609.42, 9,915.78 and 4,665.42

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Solution

The fourth proportional to 6,609.42, 9,915.78 and 4,665.42 is: 6,999.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,609.42 : 9,915.78 = 4,665.42 : x
  2. Step 2: Convert to fraction form
    6,609.42/9,915.78 = 4,665.42/x
  3. Step 3: Cross multiply
    6,609.42x = 9,915.78 × 4,665.42
  4. Step 4: Simplify right side
    6,609.42x = 46,261,278.33
  5. Step 5: Solve for x
    x = 46,261,278.33/6,609.42
  6. Step 6: Final answer
    x = 6,999.29

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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.