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Finding the Fourth Proportional to 6,301.30, 8,696.36 and 3,783.50

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Solution

The fourth proportional to 6,301.30, 8,696.36 and 3,783.50 is: 5,221.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.30 : 8,696.36 = 3,783.50 : x
  2. Step 2: Convert to fraction form
    6,301.30/8,696.36 = 3,783.50/x
  3. Step 3: Cross multiply
    6,301.30x = 8,696.36 × 3,783.50
  4. Step 4: Simplify right side
    6,301.30x = 32,902,678.06
  5. Step 5: Solve for x
    x = 32,902,678.06/6,301.30
  6. Step 6: Final answer
    x = 5,221.57

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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.