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Finding the Fourth Proportional to 9,743, 14,607.20 and 3,165.26

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Solution

The fourth proportional to 9,743, 14,607.20 and 3,165.26 is: 4,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,743 : 14,607.20 = 3,165.26 : x
  2. Step 2: Convert to fraction form
    9,743/14,607.20 = 3,165.26/x
  3. Step 3: Cross multiply
    9,743x = 14,607.20 × 3,165.26
  4. Step 4: Simplify right side
    9,743x = 46,235,585.87
  5. Step 5: Solve for x
    x = 46,235,585.87/9,743
  6. Step 6: Final answer
    x = 4,745.52

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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.