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Finding the Fourth Proportional to 9,200.84, 12,696.72 and 5,009

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Solution

The fourth proportional to 9,200.84, 12,696.72 and 5,009 is: 6,912.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,200.84 : 12,696.72 = 5,009 : x
  2. Step 2: Convert to fraction form
    9,200.84/12,696.72 = 5,009/x
  3. Step 3: Cross multiply
    9,200.84x = 12,696.72 × 5,009
  4. Step 4: Simplify right side
    9,200.84x = 63,597,870.48
  5. Step 5: Solve for x
    x = 63,597,870.48/9,200.84
  6. Step 6: Final answer
    x = 6,912.18

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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.