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Finding the Fourth Proportional to 10,206.54, 14,084.01 and 6,228.63

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Solution

The fourth proportional to 10,206.54, 14,084.01 and 6,228.63 is: 8,594.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,206.54 : 14,084.01 = 6,228.63 : x
  2. Step 2: Convert to fraction form
    10,206.54/14,084.01 = 6,228.63/x
  3. Step 3: Cross multiply
    10,206.54x = 14,084.01 × 6,228.63
  4. Step 4: Simplify right side
    10,206.54x = 87,724,087.21
  5. Step 5: Solve for x
    x = 87,724,087.21/10,206.54
  6. Step 6: Final answer
    x = 8,594.89

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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.