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Finding the Fourth Proportional to 6,232.34, 9,349.03 and 1,790.02

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Solution

The fourth proportional to 6,232.34, 9,349.03 and 1,790.02 is: 2,685.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.34 : 9,349.03 = 1,790.02 : x
  2. Step 2: Convert to fraction form
    6,232.34/9,349.03 = 1,790.02/x
  3. Step 3: Cross multiply
    6,232.34x = 9,349.03 × 1,790.02
  4. Step 4: Simplify right side
    6,232.34x = 16,734,950.68
  5. Step 5: Solve for x
    x = 16,734,950.68/6,232.34
  6. Step 6: Final answer
    x = 2,685.18

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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.