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Finding the Fourth Proportional to 9,416.96, 14,125.49 and 2,843.10

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Solution

The fourth proportional to 9,416.96, 14,125.49 and 2,843.10 is: 4,264.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,416.96 : 14,125.49 = 2,843.10 : x
  2. Step 2: Convert to fraction form
    9,416.96/14,125.49 = 2,843.10/x
  3. Step 3: Cross multiply
    9,416.96x = 14,125.49 × 2,843.10
  4. Step 4: Simplify right side
    9,416.96x = 40,160,177.07
  5. Step 5: Solve for x
    x = 40,160,177.07/9,416.96
  6. Step 6: Final answer
    x = 4,264.67

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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.