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Finding the Fourth Proportional to 8,934.50, 12,329.62 and 5,209.22

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Solution

The fourth proportional to 8,934.50, 12,329.62 and 5,209.22 is: 7,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,934.50 : 12,329.62 = 5,209.22 : x
  2. Step 2: Convert to fraction form
    8,934.50/12,329.62 = 5,209.22/x
  3. Step 3: Cross multiply
    8,934.50x = 12,329.62 × 5,209.22
  4. Step 4: Simplify right side
    8,934.50x = 64,227,703.10
  5. Step 5: Solve for x
    x = 64,227,703.10/8,934.50
  6. Step 6: Final answer
    x = 7,188.73

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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.