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Finding the Fourth Proportional to 9,354.94, 12,909.84 and 5,163.19

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Solution

The fourth proportional to 9,354.94, 12,909.84 and 5,163.19 is: 7,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.94 : 12,909.84 = 5,163.19 : x
  2. Step 2: Convert to fraction form
    9,354.94/12,909.84 = 5,163.19/x
  3. Step 3: Cross multiply
    9,354.94x = 12,909.84 × 5,163.19
  4. Step 4: Simplify right side
    9,354.94x = 66,655,905.15
  5. Step 5: Solve for x
    x = 66,655,905.15/9,354.94
  6. Step 6: Final answer
    x = 7,125.21

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1.5x scale

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.