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Finding the Fourth Proportional to 9,963.50, 14,931.24 and 5,523.21

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Solution

The fourth proportional to 9,963.50, 14,931.24 and 5,523.21 is: 8,277.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,963.50 : 14,931.24 = 5,523.21 : x
  2. Step 2: Convert to fraction form
    9,963.50/14,931.24 = 5,523.21/x
  3. Step 3: Cross multiply
    9,963.50x = 14,931.24 × 5,523.21
  4. Step 4: Simplify right side
    9,963.50x = 82,468,374.08
  5. Step 5: Solve for x
    x = 82,468,374.08/9,963.50
  6. Step 6: Final answer
    x = 8,277.05

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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.