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Finding the Fourth Proportional to 9,739.20, 14,587.20 and 3,892.80

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Solution

The fourth proportional to 9,739.20, 14,587.20 and 3,892.80 is: 5,830.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.20 : 14,587.20 = 3,892.80 : x
  2. Step 2: Convert to fraction form
    9,739.20/14,587.20 = 3,892.80/x
  3. Step 3: Cross multiply
    9,739.20x = 14,587.20 × 3,892.80
  4. Step 4: Simplify right side
    9,739.20x = 56,785,052.16
  5. Step 5: Solve for x
    x = 56,785,052.16/9,739.20
  6. Step 6: Final answer
    x = 5,830.57

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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.