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Finding the Fourth Proportional to 6,395.32, 9,575.64 and 3,310.84

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Solution

The fourth proportional to 6,395.32, 9,575.64 and 3,310.84 is: 4,957.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,395.32 : 9,575.64 = 3,310.84 : x
  2. Step 2: Convert to fraction form
    6,395.32/9,575.64 = 3,310.84/x
  3. Step 3: Cross multiply
    6,395.32x = 9,575.64 × 3,310.84
  4. Step 4: Simplify right side
    6,395.32x = 31,703,411.94
  5. Step 5: Solve for x
    x = 31,703,411.94/6,395.32
  6. Step 6: Final answer
    x = 4,957.28

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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.