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Finding the Fourth Proportional to 6,352.17, 9,528.33 and 1,735.17

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Solution

The fourth proportional to 6,352.17, 9,528.33 and 1,735.17 is: 2,602.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,352.17 : 9,528.33 = 1,735.17 : x
  2. Step 2: Convert to fraction form
    6,352.17/9,528.33 = 1,735.17/x
  3. Step 3: Cross multiply
    6,352.17x = 9,528.33 × 1,735.17
  4. Step 4: Simplify right side
    6,352.17x = 16,533,296.74
  5. Step 5: Solve for x
    x = 16,533,296.74/6,352.17
  6. Step 6: Final answer
    x = 2,602.78

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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.