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Finding the Fourth Proportional to 9,419.94, 14,132.38 and 2,846.30

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Solution

The fourth proportional to 9,419.94, 14,132.38 and 2,846.30 is: 4,270.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.94 : 14,132.38 = 2,846.30 : x
  2. Step 2: Convert to fraction form
    9,419.94/14,132.38 = 2,846.30/x
  3. Step 3: Cross multiply
    9,419.94x = 14,132.38 × 2,846.30
  4. Step 4: Simplify right side
    9,419.94x = 40,224,993.19
  5. Step 5: Solve for x
    x = 40,224,993.19/9,419.94
  6. Step 6: Final answer
    x = 4,270.20

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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.