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Finding the Fourth Proportional to 9,337.81, 14,006.50 and 2,317.85

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Solution

The fourth proportional to 9,337.81, 14,006.50 and 2,317.85 is: 3,476.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,337.81 : 14,006.50 = 2,317.85 : x
  2. Step 2: Convert to fraction form
    9,337.81/14,006.50 = 2,317.85/x
  3. Step 3: Cross multiply
    9,337.81x = 14,006.50 × 2,317.85
  4. Step 4: Simplify right side
    9,337.81x = 32,464,884.40
  5. Step 5: Solve for x
    x = 32,464,884.40/9,337.81
  6. Step 6: Final answer
    x = 3,476.71

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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.