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Finding the Fourth Proportional to 9,415.80, 14,128.20 and 6,297.30

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Solution

The fourth proportional to 9,415.80, 14,128.20 and 6,297.30 is: 9,448.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,415.80 : 14,128.20 = 6,297.30 : x
  2. Step 2: Convert to fraction form
    9,415.80/14,128.20 = 6,297.30/x
  3. Step 3: Cross multiply
    9,415.80x = 14,128.20 × 6,297.30
  4. Step 4: Simplify right side
    9,415.80x = 88,969,513.86
  5. Step 5: Solve for x
    x = 88,969,513.86/9,415.80
  6. Step 6: Final answer
    x = 9,448.96

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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.