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Finding the Fourth Proportional to 9,890.54, 14,834.21 and 3,653.49

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Solution

The fourth proportional to 9,890.54, 14,834.21 and 3,653.49 is: 5,479.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,890.54 : 14,834.21 = 3,653.49 : x
  2. Step 2: Convert to fraction form
    9,890.54/14,834.21 = 3,653.49/x
  3. Step 3: Cross multiply
    9,890.54x = 14,834.21 × 3,653.49
  4. Step 4: Simplify right side
    9,890.54x = 54,196,591.81
  5. Step 5: Solve for x
    x = 54,196,591.81/9,890.54
  6. Step 6: Final answer
    x = 5,479.64

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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.