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Finding the Fourth Proportional to 9,026.64, 13,543.83 and 4,861.80

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Solution

The fourth proportional to 9,026.64, 13,543.83 and 4,861.80 is: 7,294.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,026.64 : 13,543.83 = 4,861.80 : x
  2. Step 2: Convert to fraction form
    9,026.64/13,543.83 = 4,861.80/x
  3. Step 3: Cross multiply
    9,026.64x = 13,543.83 × 4,861.80
  4. Step 4: Simplify right side
    9,026.64x = 65,847,392.69
  5. Step 5: Solve for x
    x = 65,847,392.69/9,026.64
  6. Step 6: Final answer
    x = 7,294.78

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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.