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Finding the Fourth Proportional to 9,337.64, 14,007.50 and 3,790.19

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Solution

The fourth proportional to 9,337.64, 14,007.50 and 3,790.19 is: 5,685.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.64 : 14,007.50 = 3,790.19 : x
  2. Step 2: Convert to fraction form
    9,337.64/14,007.50 = 3,790.19/x
  3. Step 3: Cross multiply
    9,337.64x = 14,007.50 × 3,790.19
  4. Step 4: Simplify right side
    9,337.64x = 53,090,997.44
  5. Step 5: Solve for x
    x = 53,090,997.44/9,337.64
  6. Step 6: Final answer
    x = 5,685.70

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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.