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Finding the Fourth Proportional to 9,604.50, 13,254.21 and 5,188.50

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Solution

The fourth proportional to 9,604.50, 13,254.21 and 5,188.50 is: 7,160.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,604.50 : 13,254.21 = 5,188.50 : x
  2. Step 2: Convert to fraction form
    9,604.50/13,254.21 = 5,188.50/x
  3. Step 3: Cross multiply
    9,604.50x = 13,254.21 × 5,188.50
  4. Step 4: Simplify right side
    9,604.50x = 68,769,468.59
  5. Step 5: Solve for x
    x = 68,769,468.59/9,604.50
  6. Step 6: Final answer
    x = 7,160.13

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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.