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Finding the Fourth Proportional to 9,419.94, 14,118.17 and 3,870.23

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Solution

The fourth proportional to 9,419.94, 14,118.17 and 3,870.23 is: 5,800.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,419.94 : 14,118.17 = 3,870.23 : x
  2. Step 2: Convert to fraction form
    9,419.94/14,118.17 = 3,870.23/x
  3. Step 3: Cross multiply
    9,419.94x = 14,118.17 × 3,870.23
  4. Step 4: Simplify right side
    9,419.94x = 54,640,475.14
  5. Step 5: Solve for x
    x = 54,640,475.14/9,419.94
  6. Step 6: Final answer
    x = 5,800.51

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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.