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Finding the Fourth Proportional to 9,384.96, 12,951.06 and 5,193.21

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Solution

The fourth proportional to 9,384.96, 12,951.06 and 5,193.21 is: 7,166.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,384.96 : 12,951.06 = 5,193.21 : x
  2. Step 2: Convert to fraction form
    9,384.96/12,951.06 = 5,193.21/x
  3. Step 3: Cross multiply
    9,384.96x = 12,951.06 × 5,193.21
  4. Step 4: Simplify right side
    9,384.96x = 67,257,574.30
  5. Step 5: Solve for x
    x = 67,257,574.30/9,384.96
  6. Step 6: Final answer
    x = 7,166.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.