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Finding the Fourth Proportional to 9,744.18, 14,606.88 and 3,165.90

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Solution

The fourth proportional to 9,744.18, 14,606.88 and 3,165.90 is: 4,745.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.18 : 14,606.88 = 3,165.90 : x
  2. Step 2: Convert to fraction form
    9,744.18/14,606.88 = 3,165.90/x
  3. Step 3: Cross multiply
    9,744.18x = 14,606.88 × 3,165.90
  4. Step 4: Simplify right side
    9,744.18x = 46,243,921.39
  5. Step 5: Solve for x
    x = 46,243,921.39/9,744.18
  6. Step 6: Final answer
    x = 4,745.80

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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.