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Finding the Fourth Proportional to 6,356.48, 9,532.38 and 2,195.42

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Solution

The fourth proportional to 6,356.48, 9,532.38 and 2,195.42 is: 3,292.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,356.48 : 9,532.38 = 2,195.42 : x
  2. Step 2: Convert to fraction form
    6,356.48/9,532.38 = 2,195.42/x
  3. Step 3: Cross multiply
    6,356.48x = 9,532.38 × 2,195.42
  4. Step 4: Simplify right side
    6,356.48x = 20,927,577.70
  5. Step 5: Solve for x
    x = 20,927,577.70/6,356.48
  6. Step 6: Final answer
    x = 3,292.32

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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.