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Finding the Fourth Proportional to 9,915.14, 14,872.26 and 2,519.74

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Solution

The fourth proportional to 9,915.14, 14,872.26 and 2,519.74 is: 3,779.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,915.14 : 14,872.26 = 2,519.74 : x
  2. Step 2: Convert to fraction form
    9,915.14/14,872.26 = 2,519.74/x
  3. Step 3: Cross multiply
    9,915.14x = 14,872.26 × 2,519.74
  4. Step 4: Simplify right side
    9,915.14x = 37,474,228.41
  5. Step 5: Solve for x
    x = 37,474,228.41/9,915.14
  6. Step 6: Final answer
    x = 3,779.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.