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Finding the Fourth Proportional to 9,337.80, 14,004.66 and 3,096.36

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Solution

The fourth proportional to 9,337.80, 14,004.66 and 3,096.36 is: 4,643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.80 : 14,004.66 = 3,096.36 : x
  2. Step 2: Convert to fraction form
    9,337.80/14,004.66 = 3,096.36/x
  3. Step 3: Cross multiply
    9,337.80x = 14,004.66 × 3,096.36
  4. Step 4: Simplify right side
    9,337.80x = 43,363,469.04
  5. Step 5: Solve for x
    x = 43,363,469.04/9,337.80
  6. Step 6: Final answer
    x = 4,643.86

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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.