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Finding the Fourth Proportional to 9,563.79, 13,197.80 and 5,314.86

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Solution

The fourth proportional to 9,563.79, 13,197.80 and 5,314.86 is: 7,334.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,563.79 : 13,197.80 = 5,314.86 : x
  2. Step 2: Convert to fraction form
    9,563.79/13,197.80 = 5,314.86/x
  3. Step 3: Cross multiply
    9,563.79x = 13,197.80 × 5,314.86
  4. Step 4: Simplify right side
    9,563.79x = 70,144,432.73
  5. Step 5: Solve for x
    x = 70,144,432.73/9,563.79
  6. Step 6: Final answer
    x = 7,334.38

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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.