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Finding the Fourth Proportional to 9,384.09, 14,063.82 and 5,221.95

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Solution

The fourth proportional to 9,384.09, 14,063.82 and 5,221.95 is: 7,826.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.09 : 14,063.82 = 5,221.95 : x
  2. Step 2: Convert to fraction form
    9,384.09/14,063.82 = 5,221.95/x
  3. Step 3: Cross multiply
    9,384.09x = 14,063.82 × 5,221.95
  4. Step 4: Simplify right side
    9,384.09x = 73,440,494.53
  5. Step 5: Solve for x
    x = 73,440,494.53/9,384.09
  6. Step 6: Final answer
    x = 7,826.07

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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.