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Finding the Fourth Proportional to 6,428.55, 9,642.32 and 1,748.37

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Solution

The fourth proportional to 6,428.55, 9,642.32 and 1,748.37 is: 2,622.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.55 : 9,642.32 = 1,748.37 : x
  2. Step 2: Convert to fraction form
    6,428.55/9,642.32 = 1,748.37/x
  3. Step 3: Cross multiply
    6,428.55x = 9,642.32 × 1,748.37
  4. Step 4: Simplify right side
    6,428.55x = 16,858,343.02
  5. Step 5: Solve for x
    x = 16,858,343.02/6,428.55
  6. Step 6: Final answer
    x = 2,622.42

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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.