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Finding the Fourth Proportional to 9,462.84, 14,193.08 and 3,915.50

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Solution

The fourth proportional to 9,462.84, 14,193.08 and 3,915.50 is: 5,872.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,462.84 : 14,193.08 = 3,915.50 : x
  2. Step 2: Convert to fraction form
    9,462.84/14,193.08 = 3,915.50/x
  3. Step 3: Cross multiply
    9,462.84x = 14,193.08 × 3,915.50
  4. Step 4: Simplify right side
    9,462.84x = 55,573,004.74
  5. Step 5: Solve for x
    x = 55,573,004.74/9,462.84
  6. Step 6: Final answer
    x = 5,872.76

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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.