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Finding the Fourth Proportional to 9,861.90, 14,796.30 and 6,159.78

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Solution

The fourth proportional to 9,861.90, 14,796.30 and 6,159.78 is: 9,241.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,861.90 : 14,796.30 = 6,159.78 : x
  2. Step 2: Convert to fraction form
    9,861.90/14,796.30 = 6,159.78/x
  3. Step 3: Cross multiply
    9,861.90x = 14,796.30 × 6,159.78
  4. Step 4: Simplify right side
    9,861.90x = 91,141,952.81
  5. Step 5: Solve for x
    x = 91,141,952.81/9,861.90
  6. Step 6: Final answer
    x = 9,241.82

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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.