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Finding the Fourth Proportional to 9,834.88, 14,752.82 and 9,336.62

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Solution

The fourth proportional to 9,834.88, 14,752.82 and 9,336.62 is: 14,005.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,834.88 : 14,752.82 = 9,336.62 : x
  2. Step 2: Convert to fraction form
    9,834.88/14,752.82 = 9,336.62/x
  3. Step 3: Cross multiply
    9,834.88x = 14,752.82 × 9,336.62
  4. Step 4: Simplify right side
    9,834.88x = 137,741,474.27
  5. Step 5: Solve for x
    x = 137,741,474.27/9,834.88
  6. Step 6: Final answer
    x = 14,005.40

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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.