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Finding the Fourth Proportional to 6,352.56, 9,528.72 and 1,735.44

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Solution

The fourth proportional to 6,352.56, 9,528.72 and 1,735.44 is: 2,603.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.56 : 9,528.72 = 1,735.44 : x
  2. Step 2: Convert to fraction form
    6,352.56/9,528.72 = 1,735.44/x
  3. Step 3: Cross multiply
    6,352.56x = 9,528.72 × 1,735.44
  4. Step 4: Simplify right side
    6,352.56x = 16,536,521.84
  5. Step 5: Solve for x
    x = 16,536,521.84/6,352.56
  6. Step 6: Final answer
    x = 2,603.13

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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.