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Finding the Fourth Proportional to 9,086.50, 12,539.46 and 5,107.42

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Solution

The fourth proportional to 9,086.50, 12,539.46 and 5,107.42 is: 7,048.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,086.50 : 12,539.46 = 5,107.42 : x
  2. Step 2: Convert to fraction form
    9,086.50/12,539.46 = 5,107.42/x
  3. Step 3: Cross multiply
    9,086.50x = 12,539.46 × 5,107.42
  4. Step 4: Simplify right side
    9,086.50x = 64,044,288.79
  5. Step 5: Solve for x
    x = 64,044,288.79/9,086.50
  6. Step 6: Final answer
    x = 7,048.29

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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.