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Finding the Fourth Proportional to 6,395.60, 9,597.06 and 3,474.16

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Solution

The fourth proportional to 6,395.60, 9,597.06 and 3,474.16 is: 5,213.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.60 : 9,597.06 = 3,474.16 : x
  2. Step 2: Convert to fraction form
    6,395.60/9,597.06 = 3,474.16/x
  3. Step 3: Cross multiply
    6,395.60x = 9,597.06 × 3,474.16
  4. Step 4: Simplify right side
    6,395.60x = 33,341,721.97
  5. Step 5: Solve for x
    x = 33,341,721.97/6,395.60
  6. Step 6: Final answer
    x = 5,213.23

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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.