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Finding the Fourth Proportional to 6,355.97, 9,533.96 and 2,656.17

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Solution

The fourth proportional to 6,355.97, 9,533.96 and 2,656.17 is: 3,984.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.97 : 9,533.96 = 2,656.17 : x
  2. Step 2: Convert to fraction form
    6,355.97/9,533.96 = 2,656.17/x
  3. Step 3: Cross multiply
    6,355.97x = 9,533.96 × 2,656.17
  4. Step 4: Simplify right side
    6,355.97x = 25,323,805.25
  5. Step 5: Solve for x
    x = 25,323,805.25/6,355.97
  6. Step 6: Final answer
    x = 3,984.26

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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.