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Finding the Fourth Proportional to 9,188.48, 13,777.65 and 2,861.64

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Solution

The fourth proportional to 9,188.48, 13,777.65 and 2,861.64 is: 4,290.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.48 : 13,777.65 = 2,861.64 : x
  2. Step 2: Convert to fraction form
    9,188.48/13,777.65 = 2,861.64/x
  3. Step 3: Cross multiply
    9,188.48x = 13,777.65 × 2,861.64
  4. Step 4: Simplify right side
    9,188.48x = 39,426,674.35
  5. Step 5: Solve for x
    x = 39,426,674.35/9,188.48
  6. Step 6: Final answer
    x = 4,290.88

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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.