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Finding the Fourth Proportional to 9,344.80, 14,017.20 and 2,419.30

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Solution

The fourth proportional to 9,344.80, 14,017.20 and 2,419.30 is: 3,628.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,344.80 : 14,017.20 = 2,419.30 : x
  2. Step 2: Convert to fraction form
    9,344.80/14,017.20 = 2,419.30/x
  3. Step 3: Cross multiply
    9,344.80x = 14,017.20 × 2,419.30
  4. Step 4: Simplify right side
    9,344.80x = 33,911,811.96
  5. Step 5: Solve for x
    x = 33,911,811.96/9,344.80
  6. Step 6: Final answer
    x = 3,628.95

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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.