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Finding the Fourth Proportional to 9,084.90, 13,628.16 and 5,384.82

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Solution

The fourth proportional to 9,084.90, 13,628.16 and 5,384.82 is: 8,077.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,084.90 : 13,628.16 = 5,384.82 : x
  2. Step 2: Convert to fraction form
    9,084.90/13,628.16 = 5,384.82/x
  3. Step 3: Cross multiply
    9,084.90x = 13,628.16 × 5,384.82
  4. Step 4: Simplify right side
    9,084.90x = 73,385,188.53
  5. Step 5: Solve for x
    x = 73,385,188.53/9,084.90
  6. Step 6: Final answer
    x = 8,077.71

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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.