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Finding the Fourth Proportional to 9,463.50, 13,059.63 and 5,272.74

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Solution

The fourth proportional to 9,463.50, 13,059.63 and 5,272.74 is: 7,276.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,463.50 : 13,059.63 = 5,272.74 : x
  2. Step 2: Convert to fraction form
    9,463.50/13,059.63 = 5,272.74/x
  3. Step 3: Cross multiply
    9,463.50x = 13,059.63 × 5,272.74
  4. Step 4: Simplify right side
    9,463.50x = 68,860,033.49
  5. Step 5: Solve for x
    x = 68,860,033.49/9,463.50
  6. Step 6: Final answer
    x = 7,276.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.