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Finding the Fourth Proportional to 9,409.98, 14,110.74 and 2,834.76

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Solution

The fourth proportional to 9,409.98, 14,110.74 and 2,834.76 is: 4,250.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,409.98 : 14,110.74 = 2,834.76 : x
  2. Step 2: Convert to fraction form
    9,409.98/14,110.74 = 2,834.76/x
  3. Step 3: Cross multiply
    9,409.98x = 14,110.74 × 2,834.76
  4. Step 4: Simplify right side
    9,409.98x = 40,000,561.32
  5. Step 5: Solve for x
    x = 40,000,561.32/9,409.98
  6. Step 6: Final answer
    x = 4,250.87

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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.