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Finding the Fourth Proportional to 9,274.74, 13,915.26 and 5,109.45

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Solution

The fourth proportional to 9,274.74, 13,915.26 and 5,109.45 is: 7,665.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.74 : 13,915.26 = 5,109.45 : x
  2. Step 2: Convert to fraction form
    9,274.74/13,915.26 = 5,109.45/x
  3. Step 3: Cross multiply
    9,274.74x = 13,915.26 × 5,109.45
  4. Step 4: Simplify right side
    9,274.74x = 71,099,325.21
  5. Step 5: Solve for x
    x = 71,099,325.21/9,274.74
  6. Step 6: Final answer
    x = 7,665.91

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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.