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Finding the Fourth Proportional to 9,387.70, 14,086.23 and 4,192.18

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Solution

The fourth proportional to 9,387.70, 14,086.23 and 4,192.18 is: 6,290.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,387.70 : 14,086.23 = 4,192.18 : x
  2. Step 2: Convert to fraction form
    9,387.70/14,086.23 = 4,192.18/x
  3. Step 3: Cross multiply
    9,387.70x = 14,086.23 × 4,192.18
  4. Step 4: Simplify right side
    9,387.70x = 59,052,011.68
  5. Step 5: Solve for x
    x = 59,052,011.68/9,387.70
  6. Step 6: Final answer
    x = 6,290.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.