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Finding the Fourth Proportional to 9,739.44, 14,607.72 and 3,582

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Solution

The fourth proportional to 9,739.44, 14,607.72 and 3,582 is: 5,372.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,739.44 : 14,607.72 = 3,582 : x
  2. Step 2: Convert to fraction form
    9,739.44/14,607.72 = 3,582/x
  3. Step 3: Cross multiply
    9,739.44x = 14,607.72 × 3,582
  4. Step 4: Simplify right side
    9,739.44x = 52,324,853.04
  5. Step 5: Solve for x
    x = 52,324,853.04/9,739.44
  6. Step 6: Final answer
    x = 5,372.47

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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.