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Finding the Fourth Proportional to 10,188.20, 14,060.94 and 9,745.31

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Solution

The fourth proportional to 10,188.20, 14,060.94 and 9,745.31 is: 13,449.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.20 : 14,060.94 = 9,745.31 : x
  2. Step 2: Convert to fraction form
    10,188.20/14,060.94 = 9,745.31/x
  3. Step 3: Cross multiply
    10,188.20x = 14,060.94 × 9,745.31
  4. Step 4: Simplify right side
    10,188.20x = 137,028,219.19
  5. Step 5: Solve for x
    x = 137,028,219.19/10,188.20
  6. Step 6: Final answer
    x = 13,449.70

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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.