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Finding the Fourth Proportional to 9,382.25, 14,074.02 and 3,142.01

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Solution

The fourth proportional to 9,382.25, 14,074.02 and 3,142.01 is: 4,713.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,382.25 : 14,074.02 = 3,142.01 : x
  2. Step 2: Convert to fraction form
    9,382.25/14,074.02 = 3,142.01/x
  3. Step 3: Cross multiply
    9,382.25x = 14,074.02 × 3,142.01
  4. Step 4: Simplify right side
    9,382.25x = 44,220,711.58
  5. Step 5: Solve for x
    x = 44,220,711.58/9,382.25
  6. Step 6: Final answer
    x = 4,713.23

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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.