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Finding the Fourth Proportional to 6,379.90, 9,569.44 and 3,915.07

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Solution

The fourth proportional to 6,379.90, 9,569.44 and 3,915.07 is: 5,872.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,379.90 : 9,569.44 = 3,915.07 : x
  2. Step 2: Convert to fraction form
    6,379.90/9,569.44 = 3,915.07/x
  3. Step 3: Cross multiply
    6,379.90x = 9,569.44 × 3,915.07
  4. Step 4: Simplify right side
    6,379.90x = 37,465,008.43
  5. Step 5: Solve for x
    x = 37,465,008.43/6,379.90
  6. Step 6: Final answer
    x = 5,872.35

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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.