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Finding the Fourth Proportional to 6,265.32, 9,399.30 and 2,369.64

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Solution

The fourth proportional to 6,265.32, 9,399.30 and 2,369.64 is: 3,554.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,265.32 : 9,399.30 = 2,369.64 : x
  2. Step 2: Convert to fraction form
    6,265.32/9,399.30 = 2,369.64/x
  3. Step 3: Cross multiply
    6,265.32x = 9,399.30 × 2,369.64
  4. Step 4: Simplify right side
    6,265.32x = 22,272,957.25
  5. Step 5: Solve for x
    x = 22,272,957.25/6,265.32
  6. Step 6: Final answer
    x = 3,554.96

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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.