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Finding the Fourth Proportional to 10,188.86, 14,049.25 and 9,780.62

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Solution

The fourth proportional to 10,188.86, 14,049.25 and 9,780.62 is: 13,486.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,188.86 : 14,049.25 = 9,780.62 : x
  2. Step 2: Convert to fraction form
    10,188.86/14,049.25 = 9,780.62/x
  3. Step 3: Cross multiply
    10,188.86x = 14,049.25 × 9,780.62
  4. Step 4: Simplify right side
    10,188.86x = 137,410,280.84
  5. Step 5: Solve for x
    x = 137,410,280.84/10,188.86
  6. Step 6: Final answer
    x = 13,486.33

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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.