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Finding the Fourth Proportional to 9,354.93, 12,909.46 and 5,163.09

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Solution

The fourth proportional to 9,354.93, 12,909.46 and 5,163.09 is: 7,124.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,354.93 : 12,909.46 = 5,163.09 : x
  2. Step 2: Convert to fraction form
    9,354.93/12,909.46 = 5,163.09/x
  3. Step 3: Cross multiply
    9,354.93x = 12,909.46 × 5,163.09
  4. Step 4: Simplify right side
    9,354.93x = 66,652,703.83
  5. Step 5: Solve for x
    x = 66,652,703.83/9,354.93
  6. Step 6: Final answer
    x = 7,124.87

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